Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type - Couverture rigide

Mitropolsky, Yuri A.; Khoma, G.; Gromyak, M.

 
9780792345299: Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type
Couverture rigide
ISBN 10 : 0792345290 ISBN 13 : 9780792345299
Editeur : Kluwer Academic Publishers, 1997

Synopsis

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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Éditeur
Kluwer Academic Publishers
Date d'édition
1997
Langue
anglais
ISBN 10 
0792345290
ISBN 13 
9780792345299
Reliure
Relié
Nombre de pages
224
Coordonnées du fabricant
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Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9789401064262: Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type

Edition présentée

ISBN 10 :  9401064261 ISBN 13 :  9789401064262
Editeur : Springer, 2012
Couverture souple