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  • 1- Fakülteler | Faculties
  • Fen Edebiyat Fakültesi / Faculty of Arts and Sciences
  • Matematik Bölümü / Department of Mathematics
  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
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On the third boundary value problem for parabolic equations in a non-regular domain of Rᴺ +1

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Date

2016

Author

Kheloufi, Arezki

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Citation

Kheloufi, A. (2016). On the third boundary value problem for parabolic equations in a non-regular domain OFRN +1. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, 6(1), 1-14.

Abstract

In this paper, we look for sufficient conditions on the lateral surface of the domain and on the coefficients of the boundary conditions of a N−space 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 R 3 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.

Source

TWMS Journal of Applied and Engineering Mathematics

Volume

6

Issue

1

URI

https://hdl.handle.net/11729/2129
https://app.trdizin.gov.tr/makale/TWpBeU16ZzJOZz09
http://jaem.isikun.edu.tr/web/index.php/archive/91-vol6no1/229

Collections

  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics [217]
  • Jaem 2016, Vol 6, No 1 [18]
  • TR-Dizin İndeksli Makale Koleksiyonu [200]



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