Multiplicity Result for Semilinear Dissipative Hyperbolic Equations
โ Scribed by Wan Se Kim
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 91 KB
- Volume
- 231
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
A semilinear partial differential equation of hyperbolic type with a convolution term describing simple viscoelastic materials with fading memory is considered. ลฝ . Regarding the past history memory of the displacement as a new variable, the equation is transformed into a dynamical system in a suit
The existence and multiplicity results are obtained for solutions of a class of the Dirichlet problem for semilinear elliptic equations by the least action principle and the minimax methods, respectively.
## Abstract For semilinear Gellerstedt equations with Tricomi, Goursat or Dirichlet boundary conditions we prove Pohozaev type identities and derive non existence results that exploit an invariance of the linear part with respect to certain nonhomogeneous dilations. A critical exponent phenomenon o
## Abstract We consider a hyperbolicโparabolic singular perturbation problem for a quasilinear hyperbolic equation of Kirchhoff type with dissipation weak in time. The purpose of this paper is to give timeโdecay convergence estimates of the difference between the solutions of the hyperbolic equatio