Nonlinear Evolution Equations in Banach Spaces.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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The evolution problem 0 belong to dudt Atut, us x, where the At are nonlinear operators acting in a Banach space, is studied. Evolution operators are constructed from the At under various assumptions. Basic properties of these evolution operators are established and their relationship to the evolution equation is studied. The results obtained extend several known existence theorems and provide generalized solutions of the evolution equation in more general cases. Author
- Theoretical Mathematics