Generalized fourier transforms and global small solutions to kirchhoff equations

DOI10.1080/00036819508840364zbMath0832.35097OpenAlexW2054622336WikidataQ58139860 ScholiaQ58139860MaRDI QIDQ4854558

Reinhard Racke

Publication date: 14 November 1995

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819508840364

zbMATH Keywords

global existenceexterior domaingeneralized Fourier transformwave equations with non-local nonlinearities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (45K05) Second-order nonlinear hyperbolic equations (35L70)

Related Items (7)

Global well-posedness for the exterior initial-boundary value problem to the Kirchhoff equation ⋮ Geometric optics for the Kirchhoff-type equations ⋮ Global solutions to kirchhoff equations with non-local nonlinearities defined by a potential ⋮ Necessary condition on the dissipative term for the asymptotically free property of dissipative Kirchhoff equations ⋮ On the Gevrey well-posedness of the Kirchhoff equation ⋮ The Lax-Mizohata theorem for Kirchhoff-type equations ⋮ Global solvability for the Kirchhoff equations in exterior domains of dimension three

Cites Work

• Unnamed Item
• On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain
• A class of nonlinear hyperbolic problems with global solutions
• Singular limits for the compressible Euler equation in an exterior domain.
• ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS
• Nonlinear perturbations of the kirchhoff equation

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