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. © 2008 Elsevier Ltd. All rights reserved.

On the refined maximum principle for degenerate elliptic and parabolic problems

PUNZO, FABIO;
2009-01-01

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. © 2008 Elsevier Ltd. All rights reserved.
2009
Attracting boundary; Degenerate elliptic problems; Degenerate parabolic problems; Refined maximum principle; Unbounded coefficients; Analysis; Applied Mathematics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1028566
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