Evolution equations with white-noise boundary conditions
Authors:
- 1 March 1993
- journal article
- research article
- Published by Taylor & Francis in Stochastics and Stochastic Reports
- Vol. 42 (3-4) , 167-182
Abstract
The paper is devoted to nonlinear evolution equations with nonhomogenous boundary conditions of white noise type. Necessary and sufficient conditions for the existence of solutions in the linear case are given. It is also shown that if the nonlinearity satisfies appropriate dissipativity conditions the nonlinear equation has a solution as well. The results are applied to equations with polynomial nonlinearitiesKeywords
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