Analytic-Numerical Approach to Construction of Minimax Solution to the Hamilton–Jacobi Equation in Three-Dimensional Space
We consider the Dirichlet problem for the Hamilton–Jacobi equation in the three-dimensional Euclidean space with boundary condition on a smooth parametrized curve Γ. The minimax solution to the boundary value problem loses its smoothness on the bisector of the curve Γ. We propose an analytic-numeric...
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Gespeichert in:
| Autor*in: |
Lebedev, P. D. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of mathematical sciences - Springer US, 1994, 262(2022), 3 vom: Apr., Seite 291-300 |
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| Übergeordnetes Werk: |
volume:262 ; year:2022 ; number:3 ; month:04 ; pages:291-300 |
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| DOI / URN: |
10.1007/s10958-022-05817-9 |
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| 520 | |a We consider the Dirichlet problem for the Hamilton–Jacobi equation in the three-dimensional Euclidean space with boundary condition on a smooth parametrized curve Γ. The minimax solution to the boundary value problem loses its smoothness on the bisector of the curve Γ. We propose an analytic-numerical approach to construction of minimax solutions. The approach is based on the procedure for finding boundary of singular surfaces and numerical construction of the singular set Γ. | ||
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10.1007/s10958-022-05817-9 doi (DE-627)OLC2078667269 (DE-He213)s10958-022-05817-9-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn 31.00 bkl Lebedev, P. D. verfasserin aut Analytic-Numerical Approach to Construction of Minimax Solution to the Hamilton–Jacobi Equation in Three-Dimensional Space 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 We consider the Dirichlet problem for the Hamilton–Jacobi equation in the three-dimensional Euclidean space with boundary condition on a smooth parametrized curve Γ. The minimax solution to the boundary value problem loses its smoothness on the bisector of the curve Γ. We propose an analytic-numerical approach to construction of minimax solutions. The approach is based on the procedure for finding boundary of singular surfaces and numerical construction of the singular set Γ. Uspenskii, A. A. aut Enthalten in Journal of mathematical sciences Springer US, 1994 262(2022), 3 vom: Apr., Seite 291-300 (DE-627)18219762X (DE-600)1185490-X (DE-576)038888130 1072-3374 nnns volume:262 year:2022 number:3 month:04 pages:291-300 https://doi.org/10.1007/s10958-022-05817-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT 31.00 VZ AR 262 2022 3 04 291-300 |
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10.1007/s10958-022-05817-9 doi (DE-627)OLC2078667269 (DE-He213)s10958-022-05817-9-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn 31.00 bkl Lebedev, P. D. verfasserin aut Analytic-Numerical Approach to Construction of Minimax Solution to the Hamilton–Jacobi Equation in Three-Dimensional Space 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 We consider the Dirichlet problem for the Hamilton–Jacobi equation in the three-dimensional Euclidean space with boundary condition on a smooth parametrized curve Γ. The minimax solution to the boundary value problem loses its smoothness on the bisector of the curve Γ. We propose an analytic-numerical approach to construction of minimax solutions. The approach is based on the procedure for finding boundary of singular surfaces and numerical construction of the singular set Γ. Uspenskii, A. A. aut Enthalten in Journal of mathematical sciences Springer US, 1994 262(2022), 3 vom: Apr., Seite 291-300 (DE-627)18219762X (DE-600)1185490-X (DE-576)038888130 1072-3374 nnns volume:262 year:2022 number:3 month:04 pages:291-300 https://doi.org/10.1007/s10958-022-05817-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT 31.00 VZ AR 262 2022 3 04 291-300 |
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10.1007/s10958-022-05817-9 doi (DE-627)OLC2078667269 (DE-He213)s10958-022-05817-9-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn 31.00 bkl Lebedev, P. D. verfasserin aut Analytic-Numerical Approach to Construction of Minimax Solution to the Hamilton–Jacobi Equation in Three-Dimensional Space 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 We consider the Dirichlet problem for the Hamilton–Jacobi equation in the three-dimensional Euclidean space with boundary condition on a smooth parametrized curve Γ. The minimax solution to the boundary value problem loses its smoothness on the bisector of the curve Γ. We propose an analytic-numerical approach to construction of minimax solutions. The approach is based on the procedure for finding boundary of singular surfaces and numerical construction of the singular set Γ. Uspenskii, A. A. aut Enthalten in Journal of mathematical sciences Springer US, 1994 262(2022), 3 vom: Apr., Seite 291-300 (DE-627)18219762X (DE-600)1185490-X (DE-576)038888130 1072-3374 nnns volume:262 year:2022 number:3 month:04 pages:291-300 https://doi.org/10.1007/s10958-022-05817-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT 31.00 VZ AR 262 2022 3 04 291-300 |
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10.1007/s10958-022-05817-9 doi (DE-627)OLC2078667269 (DE-He213)s10958-022-05817-9-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn 31.00 bkl Lebedev, P. D. verfasserin aut Analytic-Numerical Approach to Construction of Minimax Solution to the Hamilton–Jacobi Equation in Three-Dimensional Space 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 We consider the Dirichlet problem for the Hamilton–Jacobi equation in the three-dimensional Euclidean space with boundary condition on a smooth parametrized curve Γ. The minimax solution to the boundary value problem loses its smoothness on the bisector of the curve Γ. We propose an analytic-numerical approach to construction of minimax solutions. The approach is based on the procedure for finding boundary of singular surfaces and numerical construction of the singular set Γ. Uspenskii, A. A. aut Enthalten in Journal of mathematical sciences Springer US, 1994 262(2022), 3 vom: Apr., Seite 291-300 (DE-627)18219762X (DE-600)1185490-X (DE-576)038888130 1072-3374 nnns volume:262 year:2022 number:3 month:04 pages:291-300 https://doi.org/10.1007/s10958-022-05817-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT 31.00 VZ AR 262 2022 3 04 291-300 |
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We consider the Dirichlet problem for the Hamilton–Jacobi equation in the three-dimensional Euclidean space with boundary condition on a smooth parametrized curve Γ. The minimax solution to the boundary value problem loses its smoothness on the bisector of the curve Γ. We propose an analytic-numerical approach to construction of minimax solutions. The approach is based on the procedure for finding boundary of singular surfaces and numerical construction of the singular set Γ. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 |
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We consider the Dirichlet problem for the Hamilton–Jacobi equation in the three-dimensional Euclidean space with boundary condition on a smooth parametrized curve Γ. The minimax solution to the boundary value problem loses its smoothness on the bisector of the curve Γ. We propose an analytic-numerical approach to construction of minimax solutions. The approach is based on the procedure for finding boundary of singular surfaces and numerical construction of the singular set Γ. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 |
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We consider the Dirichlet problem for the Hamilton–Jacobi equation in the three-dimensional Euclidean space with boundary condition on a smooth parametrized curve Γ. The minimax solution to the boundary value problem loses its smoothness on the bisector of the curve Γ. We propose an analytic-numerical approach to construction of minimax solutions. The approach is based on the procedure for finding boundary of singular surfaces and numerical construction of the singular set Γ. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 |
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D.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Analytic-Numerical Approach to Construction of Minimax Solution to the Hamilton–Jacobi Equation in Three-Dimensional Space</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2022</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">We consider the Dirichlet problem for the Hamilton–Jacobi equation in the three-dimensional Euclidean space with boundary condition on a smooth parametrized curve Γ. The minimax solution to the boundary value problem loses its smoothness on the bisector of the curve Γ. We propose an analytic-numerical approach to construction of minimax solutions. The approach is based on the procedure for finding boundary of singular surfaces and numerical construction of the singular set Γ.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Uspenskii, A. A.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of mathematical sciences</subfield><subfield code="d">Springer US, 1994</subfield><subfield code="g">262(2022), 3 vom: Apr., Seite 291-300</subfield><subfield code="w">(DE-627)18219762X</subfield><subfield code="w">(DE-600)1185490-X</subfield><subfield code="w">(DE-576)038888130</subfield><subfield code="x">1072-3374</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:262</subfield><subfield code="g">year:2022</subfield><subfield code="g">number:3</subfield><subfield code="g">month:04</subfield><subfield code="g">pages:291-300</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s10958-022-05817-9</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">31.00</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">262</subfield><subfield code="j">2022</subfield><subfield code="e">3</subfield><subfield code="c">04</subfield><subfield code="h">291-300</subfield></datafield></record></collection>
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