In this paper we prove higher regularity for 2m-th order parabolic equations with general boundary conditions. This is a kind of maximal L_p-L_q regularity with differentiability, i.e. the main theorem is isomorphism between the solution space and the data space using Besov and Triebel--Lizorkin spaces. The key is compatibility conditions for the initial data. We are able to get a unique smooth solution if the data satisfying compatibility conditions are smooth.
$Γ$-convergence of some nonlocal perimeters in bounded subsets of $\mathbb{R}^n$ with general boundary conditions
Scattering Resonances of Convex Obstacles for general boundary conditions
Higher-order parabolic equations with VMO assumptions and general boundary conditions with variable leading coefficients
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