Global existence of small radially symmetric solutions to quadratic nonlinear evolution equations in an exterior domain

DOI10.1007/BF02571716zbMath0801.35129OpenAlexW2785400512MaRDI QIDQ1323403

Nakao Hayashi

Publication date: 4 December 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174614

zbMATH Keywords

nonlinear Schrödinger equationsnonlinear wave equations

Mathematics Subject Classification ID

Related Items (7)

Lifespan of classical solutions to semilinear Neumann-wave equations ⋮ Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations with large initial and boundary data ⋮ Asymptotic behavior in time of small solutions to nonlinear wave equations in an exterior domain ⋮ Inhomogeneous Dirichlet boundary value problem for nonlinear Schrödinger equations in the upper half-space ⋮ Inhomogeneous Neumann-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques ⋮ INHOMOGENEOUS DIRICHLET-BOUNDARY VALUE PROBLEM FOR TWO-DIMENSIONAL QUADRATIC NONLINEAR SCHRÖDINGER EQUATIONS ⋮ THE LIFESPAN OF SOLUTIONS OF EXTERIOR RADIAL QUASILINEAR CAUCHY–NEUMANN PROBLEMS

Cites Work

• On the global existence of classical solutions of second order fully nonlinear hyperbolic equations with first order dissipation in the exterior domain
• Singularities and energy decay in acoustical scattering
• On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain
• Global existence of the solution of nonlinear Schrödinger equations in exterior domains
• Global existence of small solutions to quadratic nonlinear schrödinger equations
• Global solutions of the nonlinear schrödinger equation in exterior domains
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• On a Global Existence Theorem of Neumann Problem for Some Quasi-Linear Hyperbolic Equations
• Long time behaviour of solutions to some nonlinear rotation invariant mixed problems
• Exponential decay of solutions of the wave equation in the exterior of a star‐shaped obstacle
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