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Pointwise estimates for solutions of semilinear parabolic inequalities with a potential - MaRDI portal

Pointwise estimates for solutions of semilinear parabolic inequalities with a potential (Q1650241)

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Pointwise estimates for solutions of semilinear parabolic inequalities with a potential
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    Pointwise estimates for solutions of semilinear parabolic inequalities with a potential (English)
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    2 July 2018
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    Summary: We obtain pointwise estimates for solutions of semilinear parabolic equations with a potential on connected domains both of \(\mathbb R^n\) and of general Riemannian manifolds. Our results generalize to the parabolic case those shown in [\textit{A. Grigor'yan} and \textit{I. E. Verbitsky}, ``Pointwise estimates of solutions to semilinear elliptic equations and inequalities'', J. Anal. Math. (to appear)] for elliptic equations.
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    semilinear parabolic equations
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    heat kernel
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    Riemannian manifolds
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