Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1997
|
| Schriftenreihe: | Mathematics and Its Applications
402 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The theory of partial differential equations is a wide and rapidly developing branch of contemporary mathematics. Problems related to partial differential equations of order higher than one are so diverse that a general theory can hardly be built up. There are several essentially different kinds of differential equations called elliptic, hyperbolic, and parabolic. Regarding the construction of solutions of Cauchy, mixed and boundary value problems, each kind of equation exhibits entirely different properties. Cauchy problems for hyperbolic equations and systems with variable coefficients have been studied in classical works of Petrovskii, Leret, Courant, Gording. Mixed problems for hyperbolic equations were considered by Vishik, Ladyzhenskaya, and that for general two dimensional equations were investigated by Bitsadze, Vishik, Gol'dberg, Ladyzhenskaya, Myshkis, and others. In last decade the theory of solvability on the whole of boundary value problems for nonlinear differential equations has received intensive development. Significant results for nonlinear elliptic and parabolic equations of second order were obtained in works of Gvazava, Ladyzhenskaya, Nakhushev, Oleinik, Skripnik, and others. Concerning the solvability in general of nonlinear hyperbolic equations, which are connected to the theory of local and nonlocal boundary value problems for hyperbolic equations, there are only partial results obtained by Bronshtein, Pokhozhev, Nakhushev |
| Beschreibung: | 1 Online-Ressource (X, 214 p) |
| ISBN: | 9789401157520 9789401064262 |
| DOI: | 10.1007/978-94-011-5752-0 |
Internformat
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| 245 | 1 | 0 | |a Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type |c by Yu. Mitropolskii, G. Khoma, M. Gromyak |
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| 490 | 1 | |a Mathematics and Its Applications |v 402 | |
| 500 | |a The theory of partial differential equations is a wide and rapidly developing branch of contemporary mathematics. Problems related to partial differential equations of order higher than one are so diverse that a general theory can hardly be built up. There are several essentially different kinds of differential equations called elliptic, hyperbolic, and parabolic. Regarding the construction of solutions of Cauchy, mixed and boundary value problems, each kind of equation exhibits entirely different properties. Cauchy problems for hyperbolic equations and systems with variable coefficients have been studied in classical works of Petrovskii, Leret, Courant, Gording. Mixed problems for hyperbolic equations were considered by Vishik, Ladyzhenskaya, and that for general two dimensional equations were investigated by Bitsadze, Vishik, Gol'dberg, Ladyzhenskaya, Myshkis, and others. In last decade the theory of solvability on the whole of boundary value problems for nonlinear differential equations has received intensive development. Significant results for nonlinear elliptic and parabolic equations of second order were obtained in works of Gvazava, Ladyzhenskaya, Nakhushev, Oleinik, Skripnik, and others. Concerning the solvability in general of nonlinear hyperbolic equations, which are connected to the theory of local and nonlocal boundary value problems for hyperbolic equations, there are only partial results obtained by Bronshtein, Pokhozhev, Nakhushev | ||
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| author | Mitropolʹskij, Jurij Alekseevič 1917-2008 |
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| author_facet | Mitropolʹskij, Jurij Alekseevič 1917-2008 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-011-5752-0 |
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| id | DE-604.BV042423996 |
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| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401157520 9789401064262 |
| language | English |
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| spelling | Mitropolʹskij, Jurij Alekseevič 1917-2008 Verfasser (DE-588)104890029 aut Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type by Yu. Mitropolskii, G. Khoma, M. Gromyak Dordrecht Springer Netherlands 1997 1 Online-Ressource (X, 214 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 402 The theory of partial differential equations is a wide and rapidly developing branch of contemporary mathematics. Problems related to partial differential equations of order higher than one are so diverse that a general theory can hardly be built up. There are several essentially different kinds of differential equations called elliptic, hyperbolic, and parabolic. Regarding the construction of solutions of Cauchy, mixed and boundary value problems, each kind of equation exhibits entirely different properties. Cauchy problems for hyperbolic equations and systems with variable coefficients have been studied in classical works of Petrovskii, Leret, Courant, Gording. Mixed problems for hyperbolic equations were considered by Vishik, Ladyzhenskaya, and that for general two dimensional equations were investigated by Bitsadze, Vishik, Gol'dberg, Ladyzhenskaya, Myshkis, and others. In last decade the theory of solvability on the whole of boundary value problems for nonlinear differential equations has received intensive development. Significant results for nonlinear elliptic and parabolic equations of second order were obtained in works of Gvazava, Ladyzhenskaya, Nakhushev, Oleinik, Skripnik, and others. Concerning the solvability in general of nonlinear hyperbolic equations, which are connected to the theory of local and nonlocal boundary value problems for hyperbolic equations, there are only partial results obtained by Bronshtein, Pokhozhev, Nakhushev Mathematics Differential equations, partial Mechanics Partial Differential Equations Theoretical, Mathematical and Computational Physics Approximations and Expansions Applications of Mathematics Mathematik Choma, Grigorij Petrovič 20. Jht. Sonstige (DE-588)1089237715 oth Gromjak, M. 20. Jht. Sonstige (DE-588)1089237723 oth Mathematics and Its Applications 402 (DE-604)BV035421296 402 https://doi.org/10.1007/978-94-011-5752-0 Verlag Volltext |
| spellingShingle | Mitropolʹskij, Jurij Alekseevič 1917-2008 Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type Mathematics and Its Applications Mathematics Differential equations, partial Mechanics Partial Differential Equations Theoretical, Mathematical and Computational Physics Approximations and Expansions Applications of Mathematics Mathematik |
| title | Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type |
| title_auth | Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type |
| title_exact_search | Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type |
| title_full | Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type by Yu. Mitropolskii, G. Khoma, M. Gromyak |
| title_fullStr | Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type by Yu. Mitropolskii, G. Khoma, M. Gromyak |
| title_full_unstemmed | Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type by Yu. Mitropolskii, G. Khoma, M. Gromyak |
| title_short | Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type |
| title_sort | asymptotic methods for investigating quasiwave equations of hyperbolic type |
| topic | Mathematics Differential equations, partial Mechanics Partial Differential Equations Theoretical, Mathematical and Computational Physics Approximations and Expansions Applications of Mathematics Mathematik |
| topic_facet | Mathematics Differential equations, partial Mechanics Partial Differential Equations Theoretical, Mathematical and Computational Physics Approximations and Expansions Applications of Mathematics Mathematik |
| url | https://doi.org/10.1007/978-94-011-5752-0 |
| volume_link | (DE-604)BV035421296 |
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