We study the initial value problem for parabolic second order equa- tions with mixed and time-dependent boundary conditions obtaining optimal regularity results under weak assumptions on the data and on the geometrical behavior of the boundary. An approximation approach to abstract evolution equations on variable domains is the basic tool we develop; an application to parabolic problems in non-cylindrical domains is also given.
Parabolic problems with mixed variable lateral conditions: an abstract approach
SAVARE', GIUSEPPE
1997-01-01
Abstract
We study the initial value problem for parabolic second order equa- tions with mixed and time-dependent boundary conditions obtaining optimal regularity results under weak assumptions on the data and on the geometrical behavior of the boundary. An approximation approach to abstract evolution equations on variable domains is the basic tool we develop; an application to parabolic problems in non-cylindrical domains is also given.File in questo prodotto:
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