On the refined maximum principle for degenerate elliptic and parabolic problems |
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| Authors: | Fabio Punzo Alberto Tesei |
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| Affiliation: | Dipartimento di Matematica “G. Castelnuovo”, Università di Roma “La Sapienza”, P.le A. Moro 5, I-00185 Roma, Italie |
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| 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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| Keywords: | Refined maximum principle Degenerate parabolic problems Degenerate elliptic problems Unbounded coefficients Attracting boundary |
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