Lifespan for solutions to 4-th order hyperbolic systems with time dependent coefficients

DOI10.1016/j.jmaa.2019.123387zbMath1437.35470OpenAlexW2967575765WikidataQ127402694 ScholiaQ127402694MaRDI QIDQ2325922

Monica Marras, Stella Vernier Piro

Publication date: 4 October 2019

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.2019.123387

zbMATH Keywords

Dirichlet and Navier boundary conditionslower bound for lifespan

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) Higher-order semilinear hyperbolic equations (35L76) Initial-boundary value problems for second-order hyperbolic systems (35L53) Initial-boundary value problems for higher-order hyperbolic systems (35L57)

Related Items (1)

A note on a class of 4th order hyperbolic problems with weak and strong damping and superlinear source term

Cites Work

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• Global existence of a coupled Euler-Bernoulli plate system with variable coefficients
• Global existence, uniform decay and blow-up of solutions for a system of Petrovsky equations
• Lower bounds of blow up time for a system of semi-linear hyperbolic Petrovsky equations
• Global existence and nonexistence of solution for Cauchy problem of multidimensional double dispersion equations
• Fourth order wave equations with nonlinear strain and source terms
• Lower bound for the lifespan of solutions for a class of fourth order wave equations
• GLOBAL EXISTENCE AND NONEXISTENCE OF SOLUTIONS FOR COUPLED NONLINEAR WAVE EQUATIONS WITH DAMPING AND SOURCE TERMS
• Local asymptotic stability for polyharmonic Kirchhoff systems†
• Blow up at infinity of solutions of polyharmonic Kirchhoff systems
• Blow-up phenomena for a class of fourth-order parabolic problems
• Global existence, uniform decay, and exponential growth of solutions for a system of viscoelastic Petrovsky equations
• Global existence and nonexistence for a nonlinear wave equation with damping and source terms
• Global existence and nonexistence in a system of Petrovsky

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