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Oscillatory properties for semilinear degenerate hyperbolic equations of second order [PDF]

Journal of Mathematical Analysis and Applications, 2009
We consider three kind of oscillatory properties of the solutions to semilinear degenerate hyperbolic equations. Several sufficient conditions for the oscillation or non-oscillation are presented.
Ishida, Haruhisa, Yuzawa, Yasuo
exaly +2 more sources

Homogeneous Dirichlet problems for quasilinear anisotropic degenerate parabolic–hyperbolic equations [PDF]

Journal of Differential Equations, 2012
The aim of this paper is to prove the well-posedness (existence and uniqueness) of entropy solutions to the general anisotropic degenerate parabolic–hyperbolic equations with L∞ initial data and homogeneous Dirichlet boundary condition.
Li, Yachun, Wang, Qin
exaly +2 more sources

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Singular perturbation hyperbolic–parabolic for degenerate nonlinear equations of Kirchhoff type

Nonlinear Analysis: Theory, Methods & Applications, 2001
Massimo Gobbino
exaly

Smooth Local Solutions to Degenerate Hyperbolic Monge-Ampère Equations

Annals of PDE, 2019
Tiancong Chen
exaly

Global attractor for degenerate damped hyperbolic equations

Journal of Mathematical Analysis and Applications, 2017
Chunyou Sun
exaly

Hyperbolic--parabolic singular perturbation for mildly degenerate Kirchhoff equations: Global-in-time error estimates

Communications on Pure and Applied Analysis, 2009
Massimo Gobbino
exaly

Identification for degenerate problems of hyperbolic type