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math.AP2021
Laplace Dirichlet heat kernels in convex domains
Grzegorz Serafin
We provide general lower and upper bounds for Laplace Dirichlet heat kernel of convex domains. The obtained estimates precisely describe the exponential behaviou…
math.AP2018
Uniform pointwise asymptotics of solutions to quasi-geostrophic equation
Tomasz Jakubowski, Grzegorz Serafin
We provide two-sided pointwise estimates and uniform asymptotics of the solutions to the subcritical quasi-geostrophic equation with initial data in . Fu…