Stability of large solutions to quasilinear wave equations

DOI10.1512/iumj.2009.58.4103zbMath1191.35049OpenAlexW2006495844MaRDI QIDQ5305961

Serge Alinhac

Publication date: 24 March 2010

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2009.58.4103

zbMATH Keywords

null conditionsmall compactly supported perturbations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72)

Related Items (6)

Global nonlinear stability of large dispersive solutions to the Einstein equations ⋮ Huygens' principle for the Dirac equation in spacetime of non-constant curvature ⋮ Global nonlinear stability of one kind of large solutions to evolutionary Faddeev model ⋮ Global stability of solutions to two-dimension and one-dimension systems of semilinear wave equations ⋮ Global stability of solutions to nonlinear wave equations ⋮ Huygens’ principle for the generalized Dirac operator in curved spacetime

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