Exponential Decay of Solutions of Semilinear Parabolic Equations with Nonlocal Initial Conditions
β Scribed by K. Deng
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 228 KB
- Volume
- 179
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We use rearrangement techniques to investigate the decay of the parabolic Dirichlet problem in a bounded domain. The coefficients of the second order term are used to introduce an isoperimetric problem. The resulting isoperimetric function together with the divergence of the first order
In this paper we investigate the existence of mild solutions to first order semilinear differential equations in Banach spaces with nonlocal conditions. We shall rely on a fixed point theorem for compact maps due to Schaefer.
We study the existence of an initial trace of nonnegative solutions of the problem We prove that the initial trace is an outer regular Borel measure which may not be locally bounded for some values of the parameters p and q. We study also the corresponding Cauchy problems with a given generalized B
We study in this paper the global existence and exponential decay of solutions of the non-linear unidimensional wave equation with a viscoelastic boundary condition. We prove that the dissipation induced by the memory e!ect is strong enough to secure global estimates, which allow us to show existenc