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GLOBAL Lp ESTIMATES FOR KINETIC KOLMOGOROV-FOKKER-PLANCK EQUATIONS IN DIVERGENCE FORM.
- Source :
- SIAM Journal on Mathematical Analysis; 2024, Vol. 56 Issue 1, p1223-1263, 41p
- Publication Year :
- 2024
-
Abstract
- We present a priori estimates and unique solvability results in the mixed-norm Lebesgue spaces for the kinetic Kolmogorov-Fokker-Planck (KFP) equation in divergence form. The leading coefficients are bounded uniformly nondegenerate with respect to the velocity variable v and satisfy a vanishing mean oscillation (VMO) type condition. We consider the L<subscript>2</subscript> case separately and treat more general equations, which include the relativistic KFP equation. This paper is a continuation of our previous work on L<subscript>p</subscript> estimates for KFP equations in nondivergence form. [ABSTRACT FROM AUTHOR]
- Subjects :
- EQUATIONS
OSCILLATIONS
VELOCITY
A priori
Subjects
Details
- Language :
- English
- ISSN :
- 00361410
- Volume :
- 56
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Mathematical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 175952454
- Full Text :
- https://doi.org/10.1137/22M1512120