On the Solvability of an Evolution Problem with Weighted Integral Boundary Conditions in Sobolev Function Spaces with a Priori Estimate and Fourier’s Method

Zakari, DJIBIBE Moussa and Kokou, TCHARIE (2013) On the Solvability of an Evolution Problem with Weighted Integral Boundary Conditions in Sobolev Function Spaces with a Priori Estimate and Fourier’s Method. British Journal of Mathematics & Computer Science, 3 (4). pp. 801-810. ISSN 2231-0851

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Abstract

Aims/ The aims of this paper are to prove existence and uniqueness of following integral boundaryconditions mixed problem for parabolic equation :∂u∂t−a(t)xn+1∂∂x(xn+3∂u∂x)+bu=θ(x,t),u(x,0) =λ(x),0≤x≤`,∫`0xn−1u(x,t)dx=En(t),0≤t≤T,∫`0xnu(x,t)dx=Gn(t),0≤t≤T.The proofs are based on a priori estimates established in Sobolev function spaces and Fourier’smethod.

Item Type: Article
Subjects: Souths Book > Mathematical Science
Depositing User: Unnamed user with email support@southsbook.com
Date Deposited: 29 Jun 2023 05:20
Last Modified: 14 Sep 2024 04:44
URI: http://research.europeanlibrarypress.com/id/eprint/1274

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