A Priori Estimation of the Solution for Mixed Problems with Integral Condition for Singular Parabolic Equations. (4th February 2014)

• Record Type: Journal Article
• Authors: Almomani, Raid
• Other Names: Escobedo M. Academic Editor.; Zhu C. Academic Editor.
• Is Part Of: ISRN mathematical analysis. Volume 2014(2014)
• Publication Date: 2014-02-04
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Periodicals; 515
• DOI: 10.1155/2014/735875
• Languages: English
• ISSNs: 2090-4657

Abstract

Abstract : We prove a theorem in which we get a priori estimation of the solution for mixed problems with integral condition for singular parabolic equations. Mixed problems with nonlocal boundary conditions or with nonlocal initial conditions were studied in many works lately. Our result plays an important role in the theory of heat transmission, thermoelasticity, chemical engineering, underground water flow, and plasma physics.