A structurally damped \(\sigma\)-evolution equation with nonlinear memory

DOI10.1002/mma.6633MaRDI QIDQ6617302

Marcello D'Abbicco, Giovanni Girardi

Publication date: 10 October 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

critical exponentstructural dampingsemilinear evolution equationstest function methodglobal in time existence

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• The beam equation with nonlinear memory
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• Local and global existence of solutions to semilinear parabolic initial value problems
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• \(L^p\)-\(L^q\) estimates for damped wave equations and their applications to semi-linear problem
• Asymptotic profiles for wave equations with strong damping
• A wave equation with structural damping and nonlinear memory
• Global existence for semi-linear structurally damped \(\sigma\)-evolution models
• An equation whose Fujita critical exponent is not given by scaling
• The influence of a nonlinear memory on the damped wave equation
• Semilinear structural damped waves
• Qualitative properties of solutions to a time-space fractional evolution equation
• The critical exponent for a time fractional diffusion equation with nonlinear memory
• A note for the global nonexistence of semirelativistic equations with nongauge invariant power type nonlinearity
• A classification of structural dissipations for evolution operators

Related Items (3)

Critical non-linearity for some evolution equations with Fujita-type critical exponent ⋮ Global small data solutions for an evolution equation with structural damping and Hartree-type nonlinearity ⋮ A Klein-Gordon model with time-dependent coefficients and a memory-type nonlinearity

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