Luca Rossi
Published 2016-04-13Version 1
We derive some symmetrization and anti-symmetrization properties of parabolic equations. First, we deduce from a result by Jones a quantitative estimate of how far the level sets of solutions are from being spherical. Next, using this property, we derive a criterion providing solutions whose level sets do not converge to spheres for a class of equations including linear equations and Fisher-KPP reaction-diffusion equations.
Cordes conditions and some alternatives for parabolic equations and discontinuous diffusion
On linear elliptic and parabolic equations with growing drift in Sobolev spaces without weights
Parabolic equations with measurable coefficients in $L_p$-spaces with mixed norms
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