Explicit higher regularity on a Cauchy problem with mixed Neumann-power type boundary conditions
Abstract
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.The authors retain all rights to the original work without any restrictions.
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