Asymptotic behavior of positive solutions for heat equation with nonlinear term |
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Authors: | Habib Mâagli Malek Zribi |
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Institution: | Département de Mathématiques, Faculté des Sciences de Tunis, Campus Universitaire, 2092 Tunis, Tunisia |
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Abstract: | We study the nonlinear parabolic equation , in Rn×(0,∞) with boundary condition u(x,0)=u0(x), not necessarily bounded function. The nonlinearity φ((x,t),u) is required to satisfy some conditions related to the parabolic Kato class P∞(Rn) while allowing existence of positive solutions of the equation and continuity of such solutions. Our approach is based on potential theory tools. |
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Keywords: | Parabolic equation Positive solutions Green function |
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