Article Contents
Article Contents

# On cooperative parabolic systems: Harnack inequalities and asymptotic symmetry

• We consider fully nonlinear weakly coupled systems of parabolic equations on a bounded reflectionally symmetric domain. Assuming the system is cooperative we prove the asymptotic symmetry of positive bounded solutions. To facilitate an application of the method of moving hyperplanes, we derive Harnack type estimates for linear cooperative parabolic systems.
Mathematics Subject Classification: 35K50, 35B40, 35B45.

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