Abstract wave equations with a singular nonlinear forcing term

DOI10.1016/0022-247X(84)90138-0zbMath0599.35108MaRDI QIDQ1080075

Levine, Howard A., Michael W. Smiley

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

uniquenesslocal existenceinitial value problemcontinuationGlobal existenceabstract wave equation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items

Convergence of solutions of a nonlocal biharmonic MEMS equation with the fringing field, Blow-up of solutions of a semilinear hyperbolic equation and a parabolic equation with general forcing term and boundary condition, Unnamed Item, On the quenching behaviour of a semilinear wave equation modelling MEMS technology, A hyperbolic non-local problem modelling MEMS technology, Parameteric resonance and nonexistence of the global solution to nonlinear wave equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Abstract non linear wave equations
• The Quenching of Solutions of Semilinear Hyperbolic Equations
• Equivalent Norms for Sobolev Spaces