Maximal regularity in continuous interpolation spaces and quasilinear parabolic equations (Q5930660)
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scientific article; zbMATH DE number 1590183
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximal regularity in continuous interpolation spaces and quasilinear parabolic equations |
scientific article; zbMATH DE number 1590183 |
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Maximal regularity in continuous interpolation spaces and quasilinear parabolic equations (English)
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16 July 2002
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They consider the following parabolic evolution equation \[ \dot u(t)+A(u) u(t)=f(u), \quad u(0)=x. \] The existence, uniqueness and continuous dependence of solutions are studied. They also give conditions for global existence and establish smoothness properties of solutions.
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existence, uniqueness and continuous dependence of solution
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