Convergence of the strongly damped nonlinear Klein-Gordon equation in ℝn with radial symmetry

DOI10.1017/S0308210500029437zbMath0641.35046OpenAlexW2316767372MaRDI QIDQ3782138

Joel D. Avrin

Publication date: 1987

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500029437

zbMATH Keywords

global weak solutionradial symmetryglobal strong solutionsapproximatedstrongly-damped Klein-Gordon equation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Theoretical approximation in context of PDEs (35A35) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (2)

Global well-posedness of solutions for 2-D Klein–Gordon equations with exponential nonlinearity ⋮ A note on finite time blowup for dissipative Klein-Gordon equation

Cites Work

• Convergence properties of the strongly damped nonlinear Klein-Gordon equation
• The global Cauchy problem for the nonlinear Klein-Gordon equation
• Nonlinear second order equations with applications to partial differential equations
• Abstract non linear wave equations
• Existence of solitary waves in higher dimensions

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