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- Title
Wave equations and reaction-diffusion equations with several nonlinear source terms.
- Authors
Ya-cheng Liu; Run-zhang Xu; Tao Yu
- Abstract
The initial boundary value problem of wave equations and reaction-diffusion equations with several nonlinear source terms in a bounded domain is studied by potential well method. The invariance of some sets under the flow of these problems and the vacuum isolation of solutions are obtained by introducing a family of potential wells. Then the threshold result of global existence and nonexistence of solutions are given. Finally, the problem with critical initial conditions are discussed.
- Subjects
WAVE equation; INVARIANT wave equations; NUMERICAL solutions to nonlinear boundary value problems; NUMERICAL solutions to nonlinear difference equations; NUMERICAL solutions to nonlinear wave equations; NUMERICAL solutions to nonlinear integral equations
- Publication
Applied Mathematics & Mechanics, 2007, Vol 28, Issue 9, p1209
- ISSN
0253-4827
- Publication type
Article
- DOI
10.1007/s10483-007-0909-y