The critical exponent for the dissipative plate equation with power nonlinearity

DOI10.1016/J.CAMWA.2017.02.045zbMath1393.35236OpenAlexW2595378341MaRDI QIDQ1643252

Marcello D'Abbicco

Publication date: 19 June 2018

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.02.045

zbMATH Keywords

critical exponentpower nonlinearitydamped plate equationrotational inertiaregularity loss type decaysystem of plate equations

Mathematics Subject Classification ID

Plates (74K20) Critical exponents in context of PDEs (35B33) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

The influence of data regularity in the critical exponent for a class of semilinear evolution equations ⋮ On the existence theory for nonlinear plate equations ⋮ Global existence results for semi-linear structurally damped wave equations with nonlinear convection

Cites Work

• A note on a weakly coupled system of structurally damped waves
• A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations
• Existence and nonexistence of global solutions for a nonlinear hyperbolic system with damping
• Timoshenko's plate equation as a singular limit of the dynamical von Kármán system
• Critical exponent for the Cauchy problem to the weakly coupled damped wave system
• A blow-up result for a nonlinear wave equation with damping: The critical case
• DECAY ESTIMATES OF SOLUTIONS TO A SEMI-LINEAR DISSIPATIVE PLATE EQUATION
• ASYMPTOTIC PROPERTIES FOR A SEMILINEAR PLATE EQUATION IN UNBOUNDED DOMAINS
• A classification of structural dissipations for evolution operators
• Critical exponent for a nonlinear wave equation with damping
• Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on \(\mathbb{R}^n\)

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