A fois-saut type of expansion for dissipative wave equations

DOI10.1080/03605300008821585zbMath0963.35123OpenAlexW1577904532MaRDI QIDQ4521116

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Publication date: 18 June 2001

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300008821585

zbMATH Keywords

semigroup of operatorsnonlinear wave equationhomogeneous Dirichlet boundary conditionnonresonance condition

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) One-parameter semigroups and linear evolution equations (47D06) Second-order nonlinear hyperbolic equations (35L70) Series solutions to PDEs (35C10)

Related Items (8)

Asymptotic expansions for the Lagrangian trajectories from solutions of the Navier-Stokes equations ⋮ Asymptotic expansions in time for rotating incompressible viscous fluids ⋮ Long-time behaviour of solutions of superlinear systems of differential equations ⋮ NAVIER AND STOKES MEET POINCARÉAND DULAC ⋮ Infinite series asymptotic expansions for decaying solutions of dissipative differential equations with non-smooth nonlinearity ⋮ Asymptotic expansions with exponential, power, and logarithmic functions for non-autonomous nonlinear differential equations ⋮ Long-time asymptotic expansions for Navier-Stokes equations with power-decaying forces ⋮ Long-time asymptotic expansion for the damped semilinear wave equation.

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