First and second critical exponents for an inhomogeneous damped wave equation with mixed nonlinearities

DOI10.3934/math.2020452zbMath1484.35289OpenAlexW3083790608MaRDI QIDQ2132268

Bessem Samet

Publication date: 27 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020452

zbMATH Keywords

critical exponentglobal weak solutiondamped wave equationmixed nonlinearity

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Weak solutions to PDEs (35D30) Initial value problems for second-order hyperbolic equations (35L15) Second-order quasilinear hyperbolic equations (35L72)

Cites Work

• Scaling variables and asymptotic profiles for the semilinear damped wave equation with variable coefficients
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• \(p\)-Laplacian problems involving critical Hardy-Sobolev exponents
• A new critical phenomenon for semilinear parabolic problems
• The sharp lifespan estimate for semilinear damped wave equation with Fujita critical power in higher dimensions
• Nonexistence of solutions to a hyperbolic equation with a time fractional damping
• A blow-up result for a nonlinear wave equation with damping: The critical case
• Global Existence, Large Time Behavior and Life Span of Solutions of a Semilinear Parabolic Cauchy Problem
• Fujita’s Exponent for a Semilinear Wave Equation with Linear Damping
• Blow up for the Wave Equation with a Fractional Damping
• A note on the lifespan of solutions to the semilinear damped wave equation
• Critical exponent for a nonlinear wave equation with damping
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