Polacik, Peter - School of Mathematics, University of Minnesota

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Polacik, Peter - School of Mathematics, University of Minnesota

Symmetry properties of positive solutions of parabolic equations on RN
Singularity and decay estimates in superlinear problems via Liouville-type theorems.
Exponential separation and principal Floquet bundles for linear parabolic equations on RN
On cooperative parabolic systems: Harnack inequalities and asymptotic symmetry
Convergence to a steady state for asymptotically autonomous semilinear heat
Asymptotic behavior of threshold and sub-threshold solutions of a semilinear heat
Symmetry properties of positive solutions of parabolic equations: a survey
Singularity and decay estimates in superlinear problems via Liouville-type theorems.
Correction to Lemma 3.5 in the paper [P. Polacik, Estimates of solutions and asymptotic symmetry for parabolic equations on bounded domains, Arch.
On symmetry of nonnegative solutions of elliptic equations
Symmetry of nonnegative solutions of elliptic equations via a result of Serrin
Threshold solutions and sharp transitions for nonautonomous parabolic equations on RN
Liouville-type theorems and asymptotic behavior of nodal radial solutions of
Convergence of anisotropically decaying solutions of a supercritical semilinear heat
Zeros of complex caloric functions and singularities of complex viscous Burgers
Harnack inequalities, exponential separation, and perturbations of principal Floquet bundles
Estimates of solutions and asymptotic symmetry for parabolic equations on bounded
Loops and Branches of Coexistence States in a Lotka-Volterra Competition Model
THE PARABOLIC LOGISTIC EQUATION WITH BLOW-UP INITIAL AND BOUNDARY VALUES
Positivity and symmetry of nonnegative solutions of semilinear elliptic equations on
On asymptotically symmetric parabolic J. Foldes and P. Polacik