Global existence and asymptotic behavior of solutions for nonlinear parabolic equations on unbounded domains |
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Authors: | Lamia Mâatoug |
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Institution: | Department of Mathematics, Faculty of Sciences of Tunis, Campus Universitaire, 1060 Tunis, Tunisia |
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Abstract: | We study the existence and the asymptotic behavior of positive solutions for the parabolic equation on D×(0,∞), where is a some unbounded domain in and V belongs to a new parabolic class J∞ of singular potentials generalizing the well-known parabolic Kato class at infinity P∞ introduced recently by Zhang. We also show that the choice of this class is essentially optimal. |
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Keywords: | 35J60 35K55 35B40 |
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