Well‐posedness and regularity results for a 2 mm ‐th order parabolic equation in symmetric conical domains of ? ^{N +1 NN +1}

摘要

xml:id="mma4451-para-0001"> In this paper, we use the domain decomposition method to prove well‐posedness and smoothness results in anisotropic weighted Sobolev spaces for a multidimensional high‐order parabolic equation set in conical time‐dependent domains of R N + 1 , N 1 . Copyright ? 2017 John Wiley & Sons, Ltd.