An extension of Rothe’s method to non-cylindrical domains
Tóm tắt
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.
Tài liệu tham khảo
J. Dasht, J. Engström, A. Kufner, and L.-E. Persson: Rothe’s method for parabolic equations on non-cylindrical domains. Advances in Algebra and Analysis 1 (2006), 1–22.
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