ON THE THIRD BOUNDARY VALUE PROBLEM FOR PARABOLIC EQUATIONS IN A NON-REGULAR DOMAIN OF RN+1
In this paper, we look for sucient conditions on the lateral surface of the domain and on the coecients of the boundary conditions of a Nspace dimensional linear parabolic equation, in order to obtain existence, uniqueness and maximal regularity of the solution in a Hilbertian anisotropic Sobolev space when the right hand side of the equation is in a Lebesgue space. This work is an extension of solvability results obtained for a second order parabolic equation, set in a non-regular domain of R3 obtained in [1], to the case where the domain is cylindrical, not with respect to the time variable, but with respect to N space variables, N > 1
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- ISSN: 2146-1147
- Başlangıç: 2010
- Yayıncı: Turkic World Mathematical Society
Sayıdaki Diğer Makaleler
T. M .ALİYEV, Sh. B. BAKHSHİYEV
Y. YAZLIK, N. YILMAZ, N. TASKARA, K. USLU
- R.SUNDARESWARAN, - V.SWAMİNATHAN
P. TİTUS, A. P. SANTHAKUMARAN, K. GANESAMOORTHY