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.

On the refined maximum principle for degenerate elliptic and parabolic problems / F. Punzo, A. Tesei. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 70:8(2009), pp. 3047-3055.

On the refined maximum principle for degenerate elliptic and parabolic problems

F. Punzo
Primo
;
2009

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.
Attracting boundary; Degenerate elliptic problems; Degenerate parabolic problems; Refined maximum principle; Unbounded coefficients
Settore MAT/05 - Analisi Matematica
2009
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/229843
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