Oscillatory properties for semilinear degenerate hyperbolic equations of second order

DOI10.1016/J.JMAA.2009.03.010zbMath1173.35607OpenAlexW1990272176MaRDI QIDQ1025043

Yasuo Yuzawa, Haruhisa Ishida

Publication date: 18 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.03.010

zbMATH Keywords

positivitymixed problemone space dimension

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Degenerate hyperbolic equations (35L80)

Related Items (2)

Long-time behavior for evolution processes associated with non-autonomous nonlinear Schrödinger equation ⋮ Continuity of pullback attractors for evolution processes associated with semilinear damped wave equations with time-dependent coefficients

Cites Work

• Some oscillatory properties of the wave equation in several space dimensions
• Integral inequalities and second order linear oscillation
• A note on a theorem of Jörgens
• A pointwise oscillation property of semilinear wave equations with time-dependent coefficients
• Oscillation or nonoscillation property for semilinear wave equations.
• A pointwise oscillation property of semilinear wave equations with time-dependent coefficients. II.
• A note on the fundamental solution for the Tricomi-type equation in the hyperbolic domain
• The Cauchy problem for semilinear weakly hyperbolic equations in Hilbert spaces
• A class of locally solvable semilinear equations of weakly hyperbolic type
• Oscillation theory
• Global Existence with Large Data for a Nonlinear Weakly Hyperbolic Equation
• Oscillatory Phenomena Associated to Semilinear Wave Equations in One Spatial Dimension
• Local existence for semilinear weakly hyperbolic equations with time dependent coefficients
• Oscillation Theorems for Solutions of Hyperbolic Equations
• Necessary and Sufficient Conditions for the Oscillation of a Second Order Linear Differential Equation
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