Explicit higher regularity on a Cauchy problem with mixed Neumann-power type boundary conditions
Keywords:
higher regularity, Caccioppoli estimate, Gehring-Giaquinta-Modica theory, L^p maximal regularityAbstract
We investigate the regularity in L^p (p>2) of the gradient of any weak solution of a Cauchy problem with mixed Neumann-power type boundary conditions. Under suitable assumptions we prove the existence of weak solutions that satisfy explicit estimates. Some considerations on the steady-state regularity are discussed.Downloads
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