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A Liouville comparison principle for solutions of semilinear parabolic second-order partial differential inequalities (Q2852331)

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scientific article; zbMATH DE number 6214029
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English
A Liouville comparison principle for solutions of semilinear parabolic second-order partial differential inequalities
scientific article; zbMATH DE number 6214029

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    A Liouville comparison principle for solutions of semilinear parabolic second-order partial differential inequalities (English)
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    8 October 2013
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    Fujita exponent
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    Liouville-type and Fujita-type theorems are established for weak solutions of the Cauchy problem for semilinear parabolic inequalities where the coefficients of the elliptic operator may be unbounded or vanish at spatial infinity. The critical Fujita exponent depends on the behavior of the coefficients.
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