Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843426 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 9 Pages |
Abstract
We extend the refined maximum principle in [H. Berestycki, L. Nirenberg, S.R.S. Varadhan, The principal eigenvalue and the maximum principle for second-order elliptic operators in general domains, Comm. Pure Appl. Math. 47 (1994) 47–92] to degenerate elliptic and parabolic equations with unbounded coefficients. Then we discuss the well-posedness of the corresponding Dirichlet boundary value problems.
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Authors
Fabio Punzo, Alberto Tesei,