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Global boundedness and Hölder regularity of solutions to general p(x,t)‐Laplace parabolic equations.
- Source :
-
Mathematical Methods in the Applied Sciences . Jun2020, Vol. 43 Issue 9, p5809-5831. 23p. - Publication Year :
- 2020
-
Abstract
- In this paper, we establish global boundedness and Hölder regularity of the weak solution to the following parabolic p(x,t)‐Laplace equation: ut−diva(x,t,u,∇u)=b(x,t,u,∇u)inQT,u(x,t)=0on∂Ω×(0,T),u(x,0)=u0inΩ,under some proper assumptions on a and b. The Hölder continuity given in the present work extends known results to the equation with a general nondivergence term. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PARABOLIC operators
*EQUATIONS
*LAPLACE transformation
*CONTINUITY
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 43
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 143072081
- Full Text :
- https://doi.org/10.1002/mma.6325