Critical Exponent for a Nonlinear Wave Equation with Damping
β Scribed by Grozdena Todorova; Borislav Yordanov
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 194 KB
- Volume
- 174
- Category
- Article
- ISSN
- 0022-0396
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π SIMILAR VOLUMES
## Communicated by M. Fila In this paper, we establish the blow-up theorems of Fujita type for a class of homogeneous Neumann exterior problems of quasilinear convection-diffusion equations. The critical Fujita exponents are determined and it is shown that the exponents belong to the blow-up case
We employ elliptic regularization and monotone method. We consider XβR n (n 1) an open bounded set that has regular boundary C and Q = XΓ(0,T), T>0, a cylinder of R n+1 with lateral boundary R = CΓ(0,T).
## Abstract In this paper we consider a nonlinear wave equation with damping and source term on the whole space. For linear damping case, we show that the solution blows up in finite time even for vanishing initial energy. The criteria to guarantee blowup of solutions with positive initial energy a