ON THE THIRD BOUNDARY VALUE PROBLEM FOR PARABOLIC EQUATIONS IN A NON-REGULAR DOMAIN OF RN+1

A. KHELOUFİ

Makale detayları

ON THE THIRD BOUNDARY VALUE PROBLEM FOR PARABOLIC EQUATIONS IN A NON-REGULAR DOMAIN OF RN+1

Yazarlar:

A. KHELOUFİ

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2016 Vol.6 Issue 1, pp.1-14

Belge Tipi:

Makale

Yayın Tarihi:

5/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000746202

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147

Özet:

 

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.

Makale detayları

ON THE THIRD BOUNDARY VALUE PROBLEM FOR PARABOLIC EQUATIONS IN A NON-REGULAR DOMAIN OF RN+1

Yazarlar: A. KHELOUFİ

Yayıncı: Turkic World Mathematical Society

Dergi: TWMS Journal of Applied and Engineering Mathematics 2016 Vol.6 Issue 1, pp.1-14

Belge Tipi: Makale

Yayın Tarihi: 5/2016

Belge Dili: İngilizce

Document ID (Org No.): 2000746202

Sıklık: Aylık

eISSN: 2587-1013

pISSN: 2146-1147

Sayı

Yazarlar:

A. KHELOUFİ

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2016 Vol.6 Issue 1, pp.1-14

Belge Tipi:

Makale

Yayın Tarihi:

5/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000746202

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147