We investigate asymptotic property of the solution to the boundary value problem (BV) for the semilinear Euler-Poisson-Darboux type equation as t tends to ∞. Applying this result to the boundary value problem of the semilinear wave equation with a nonlinear dissipation we show the optimality of the decay estimate. Also we discuss the optimality of the decay estimates and lower bounds of solutions the mixed problem corresponding to (BV).
|Number of pages||11|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - 01-08-2001|
All Science Journal Classification (ASJC) codes
- Applied Mathematics