Energy estimates and uniqueness of the weak solutions of initial-boundary value problems for semilinear hyperbolic systems

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/pl00001519 ◽

2000 ◽

Vol 51 (5) ◽

pp. 792-805

Author(s):

C. Făciu ◽

N. Simion

Keyword(s):

Boundary Value Problems ◽

Weak Solutions ◽

Hyperbolic Systems ◽

Boundary Value ◽

Initial Boundary ◽

Energy Estimates ◽

Initial Boundary Value Problems ◽

Initial Boundary Value ◽

Semilinear Hyperbolic Systems

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Propagation of the singularities of solutions of initial-boundary-value problems for first-order hyperbolic systems

Journal of Soviet Mathematics ◽

10.1007/bf01387727 ◽

1987 ◽

Vol 37 (1) ◽

pp. 877-885

Author(s):

Yu. G. Safarov

Keyword(s):

Boundary Value Problems ◽

Hyperbolic Systems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

First Order ◽

Initial Boundary Value

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REGULARITY OF SOLUTIONS OF INITIAL BOUNDARY VALUE PROBLEMS FOR SYMMETRIC HYPERBOLIC SYSTEMS WITH BOUNDARY CHARACTERISTIC OF CONSTANT MULTIPLICITY

Series on Advances in Mathematics for Applied Sciences - Advances in Nonlinear Partial Differential Equations and Stochastics ◽

10.1142/9789812816481_0004 ◽

1998 ◽

pp. 133-159 ◽

Author(s):

YOSHITAKA YAMAMOTO

Keyword(s):

Boundary Value Problems ◽

Hyperbolic Systems ◽

Boundary Value ◽

Initial Boundary ◽

Regularity Of Solutions ◽

Initial Boundary Value Problems ◽

Constant Multiplicity ◽

Initial Boundary Value ◽

Boundary Characteristic

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Weak solutions of initial-boundary value problems for class of nonlinear viscoelastic equations

Applicable Analysis ◽

10.1080/00036818708839699 ◽

1987 ◽

Vol 26 (1) ◽

pp. 33-43 ◽

Author(s):

Kenneth Kuttler ◽

Darrell Hicks

Keyword(s):

Boundary Value Problems ◽

Weak Solutions ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Nonlinear Viscoelastic ◽

Viscoelastic Equations ◽

Initial Boundary Value

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On global existence of weak solutions to some 2-dimensional initial-boundary value problems for maxwell fluids

Applicable Analysis ◽

10.1080/00036819708840561 ◽

1997 ◽

Vol 65 (3-4) ◽

pp. 251-255 ◽

Author(s):

O. Ladyzhenskaya

Keyword(s):

Global Existence ◽

Boundary Value Problems ◽

Weak Solutions ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Existence Of Weak Solutions ◽

Maxwell Fluids ◽

Initial Boundary Value

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Stability of Initial Boundary Value Problems for Hyperbolic Systems

Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications ◽

10.1007/978-3-322-87869-4_68 ◽

1989 ◽

pp. 698-707

Author(s):

M. Ziółko

Keyword(s):

Boundary Value Problems ◽

Hyperbolic Systems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Numerical Methods for Initial-Boundary-Value Problems for First Order Quasilinear Hyperbolic Systems in Two Independent Variables

Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies ◽

10.1007/978-3-662-06707-9_1 ◽

1988 ◽

pp. 2-170

Author(s):

Zhu You-lan ◽

Chen Bing-mu ◽

Zhong Xi-chang ◽

Zhang Zuo-min

Keyword(s):

Numerical Methods ◽

Boundary Value Problems ◽

Hyperbolic Systems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Quasilinear Hyperbolic Systems ◽

First Order ◽

Initial Boundary Value ◽

Two Independent Variables

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Existence and uniqueness of solutions to initial-boundary value problems for semilinear hyperbolic systems in two independent variables

Journal of Differential Equations ◽

10.1016/0022-0396(76)90005-x ◽

1976 ◽

Vol 22 (1) ◽

pp. 74-88 ◽

Author(s):

Thomas J Langan

Keyword(s):

Boundary Value Problems ◽

Existence And Uniqueness ◽

Hyperbolic Systems ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Uniqueness Of Solutions ◽

Independent Variables ◽

Initial Boundary Value ◽

Semilinear Hyperbolic Systems ◽

Two Independent Variables

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Initial-Boundary value problems for the Boltzmann equation: Global existence of weak solutions

Archive for Rational Mechanics and Analysis ◽

10.1007/bf01837113 ◽

1992 ◽

Vol 119 (4) ◽

pp. 309-353 ◽

Author(s):

K. Hamdache

Keyword(s):

Boltzmann Equation ◽

Global Existence ◽

Boundary Value Problems ◽

Weak Solutions ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Existence Of Weak Solutions ◽

The Boltzmann Equation ◽

Initial Boundary Value

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On some class of initial boundary value problems for second order quasilinear hyperbolic systems

Tsukuba Journal of Mathematics ◽

10.21099/tkbjm/1496161976 ◽

1992 ◽

Vol 16 (2) ◽

pp. 443-486 ◽

Author(s):

Andrzej Chrzeszczyk

Keyword(s):

Boundary Value Problems ◽

Hyperbolic Systems ◽

Boundary Value ◽

Initial Boundary ◽

Second Order ◽

Initial Boundary Value Problems ◽

Quasilinear Hyperbolic Systems ◽

Initial Boundary Value

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Initial boundary value problems for hyperbolic systems

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160230304 ◽

1970 ◽

Vol 23 (3) ◽

pp. 277-298 ◽

Author(s):

Heinz-Otto Kreiss

Keyword(s):

Boundary Value Problems ◽

Hyperbolic Systems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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