Decay and periodic solution for semilinear parabolic equations with a noninvertible linear operator
β Scribed by Mitsuhiro Nakao
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 586 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
## dedicated to professor junji kato for his 60th birthday We deal with the inhomogeneous linear periodic equation with infinite delay of the form dxΓdt=Ax(t)+B(t, x t )+F(t), where A is the generator of a C 0 -semigroup on a Banach space. Assuming that it has a bounded solution, we obtain several
## Communicated by H. A. Levine Consider the problem
We study the limit of the solution of linear and semilinear second order PDEs of parabolic type, with rapidly oscillating periodic coefficients, singular drift, and singular coefficient of the zeroth order term. Our method of proof is fully probabilistic and builds upon the arguments in earlier work