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A blow-up dichotomy for semilinear fractional heat equations (2020)
Journal Article
Laister, R., & Sierżęga, M. (2021). A blow-up dichotomy for semilinear fractional heat equations. Mathematische Annalen, 381, 75–90. https://doi.org/10.1007/s00208-020-02078-2

We derive a blow-up dichotomy for positive solutions of fractional semilinear heat equations on the whole space. That is, within a certain class of convex source terms, we establish a necessary and sufficient condition on the source for all positive... Read More about A blow-up dichotomy for semilinear fractional heat equations.

Global asymptotic behaviour in some functional parabolic equations (2002)
Journal Article
Laister, R. (2002). Global asymptotic behaviour in some functional parabolic equations. Nonlinear Analysis: Theory, Methods and Applications, 50(3), 347-361. https://doi.org/10.1016/S0362-546X%2801%2900766-0

The global asymptotic behavior in some functional parabolic equations was presented. The sufficient condition for the global convergence to a spatially uniform equilibrium in the system of functional partial differential equations was provided. Resul... Read More about Global asymptotic behaviour in some functional parabolic equations.