Global existence of solutions for higher order nonlinear damped wave equations

zbMath1306.35076MaRDI QIDQ2257960

Hiroshi Takeda

Publication date: 2 March 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://aimsciences.org/journals/displayPaperPro.jsp?paperID=7140

zbMATH Keywords

critical exponentsglobal solutionsoptimal decay

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 higher-order hyperbolic equations (35L30) Higher-order semilinear hyperbolic equations (35L76)

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Critical curve for a weakly coupled system of semilinear \(\sigma\)-evolution equations with frictional damping ⋮ On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping ⋮ On the initial value problem of the semilinear beam equation with weak damping. II: Asymptotic profiles ⋮ On the Cauchy problem for semilinear regularity-loss-type \(\sigma \)-evolution models with memory term

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