Abstract
We discuss the critical exponent problem for the semilinear wave equation with linear damping utt + (-1)m\x\ αδmu + ut = f(t,x)\u\p + w(t,x) , t > 0, x€Rn and show that it coincides with the Fujita exponent for the heat equation with the same nonlinearity.
Original language | British English |
---|---|
Pages (from-to) | 41-49 |
Number of pages | 9 |
Journal | Advanced Nonlinear Studies |
Volume | 2 |
Issue number | 1 |
DOIs | |
State | Published - 2002 |
Keywords
- Blow-up
- Damping
- Fujita's exponent
- Nonlinear wave equation