Another way to say caloric

Michael G. Crandall () and Pei-Yong Wang ()
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Michael G. Crandall: University of California, Department of Mathematics
Pei-Yong Wang: University of California, Department of Mathematics

A chapter in Nonlinear Evolution Equations and Related Topics, 2004, pp 653-672 from Springer

Abstract: Abstract This paper offers characterizations of subsolutions of the heat equation u t -Δu=0 (the subcaloric functions) and the infinity heat equation u t -Δ∞ u=0 (the infinity-subcaloric functions) by means of comparison properties with explicit families of solutions of the corresponding equations. The primary ingredients of functions in these families are translates of solutions which depend radially on the space variables. Results of independent interest include the presentation and study of the class of infinity-caloric functions employed in the characterization.

Keywords: Primary 35K10; 35K65; 35K55; 35B50; Maximum principle; heat equation; nonlinear parabolic (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7924-8_34

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DOI: 10.1007/978-3-0348-7924-8_34

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