Yuri A Mitropolsky

(Author)

Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type (1997)Hardcover - 1997, 30 April 1997

Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type (1997)
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Part of Series
Mathematics and Its Applications
Part of Series
Mathematics and Its Applications (Closed)
Print Length
214 pages
Language
English
Publisher
Springer
Date Published
30 Apr 1997
ISBN-10
0792345290
ISBN-13
9780792345299

Description

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.

Product Details

Authors:
Yuri A MitropolskyG KhomaM Gromyak
Book Edition:
1997
Book Format:
Hardcover
Country of Origin:
US
Date Published:
30 April 1997
Dimensions:
23.39 x 15.6 x 1.42 cm
ISBN-10:
0792345290
ISBN-13:
9780792345299
Language:
English
Location:
Dordrecht
Pages:
214
Publisher:
Weight:
498.95 gm

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