We prove a comparison result for the solutions of Cauchy–Dirichlet problems for a nonlinear parabolic equation. Using Schwarz spherical symmetrization, we compare the concentration of solutions to such problems with the concentration of solutions to conveniently symmetrized problems. The result takes into account, in a sharp form, the influence of the zero-order term.
Comparison results for solutions of nonlinear parabolic equations
Volzone, Bruno
2010-01-01
Abstract
We prove a comparison result for the solutions of Cauchy–Dirichlet problems for a nonlinear parabolic equation. Using Schwarz spherical symmetrization, we compare the concentration of solutions to such problems with the concentration of solutions to conveniently symmetrized problems. The result takes into account, in a sharp form, the influence of the zero-order term.File in questo prodotto:
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