First Boundary Value Problem for Cordes-Type Semilinear Parabolic Equation with Discontinuous Coefficients
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-19
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
For a class of semilinear parabolic equations with discontinuous coefficients, the strong solvability of the Dirichlet problem is studied in this paper.
The problem ∑i,j=1naijt,xuxixj−ut+gt,x,u=ft,x,uΓQT=0, in QT=Ω×0,T is the subject of our study, where Ω is bounded C2 or a convex subdomain of En+1,ΓQT=∂QT\∖t=T.
The function gx,u is assumed to be a Caratheodory function satisfying the growth condition gt,x,u≤b0uq, for b0>0,q∈0,n+1/n−1,n≥2, and leading coefficients satisfy Cordes condition b0>0,q∈0,n+1/n−1,n≥2.
American Psychological Association (APA)
Harman, Aziz& Harman, Ezgi. 2020. First Boundary Value Problem for Cordes-Type Semilinear Parabolic Equation with Discontinuous Coefficients. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-4.
https://search.emarefa.net/detail/BIM-1187967
Modern Language Association (MLA)
Harman, Aziz& Harman, Ezgi. First Boundary Value Problem for Cordes-Type Semilinear Parabolic Equation with Discontinuous Coefficients. Journal of Mathematics No. 2020 (2020), pp.1-4.
https://search.emarefa.net/detail/BIM-1187967
American Medical Association (AMA)
Harman, Aziz& Harman, Ezgi. First Boundary Value Problem for Cordes-Type Semilinear Parabolic Equation with Discontinuous Coefficients. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-4.
https://search.emarefa.net/detail/BIM-1187967
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1187967