An extension of Rothe’s method to non-cylindrical domains
Komil KulievDepartment of Mathematics, University of West Bohemia, Univerzitní 22, 306 14, Pilsen, Czech RepublicLars‐Erik PerssonDepartment of Mathematics, Luleå University of Technology, SE-97187, Luleå, Sweden
2007en
ABI
Abstract
In this paper Rothe’s classical method is extended so that it can be used to solve some linear parabolic boundary value problems in non-cylindrical domains. The corresponding existence and uniqueness theorems are proved and some further results and generalizations are discussed and applied.
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