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Dirichlet boundary value problems for elliptic operators with measure data.
- Source :
-
Journal of Differential Equations . Dec2021, Vol. 303, p42-85. 44p. - Publication Year :
- 2021
-
Abstract
- In this paper, we prove that there exists a unique weak solution to the Dirichlet boundary value problem for second order elliptic operators whose coefficients are signed measures. Our approach is probabilistic, which also gives a representation of the solution. The heat kernel estimates and the theory of additive functionals play a crucial role in our approach. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BOUNDARY value problems
*FUNCTIONALS
Subjects
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 303
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 152896326
- Full Text :
- https://doi.org/10.1016/j.jde.2021.09.010