We consider the solution u of the Cauchy-Dirichlet problem for a class of linear parabolic equations in which the coefficient of the zero order term could have a singularity at the origin of the type 1/|x|^2. We prove that u can be compared "in the sense of rearrangements" with the solution of a problem whose data are radially symmetric with respect to the space variable.
Comparison results for solutions of parabolic equations with a singular potential / Volpicelli, Roberta; Volzone, Bruno. - In: LE MATEMATICHE. - ISSN 0373-3505. - STAMPA. - 62:1(2007), pp. 135-156.
Comparison results for solutions of parabolic equations with a singular potential
VOLPICELLI, ROBERTA;VOLZONE, BRUNO
2007
Abstract
We consider the solution u of the Cauchy-Dirichlet problem for a class of linear parabolic equations in which the coefficient of the zero order term could have a singularity at the origin of the type 1/|x|^2. We prove that u can be compared "in the sense of rearrangements" with the solution of a problem whose data are radially symmetric with respect to the space variable.File in questo prodotto:
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