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Well‐posedness and regularity results for a 2m‐th order parabolic equation in symmetric conical domains of ℝN+1 |
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| Authors: | Saïda Cherfaoui Amor Kessab Arezki Kheloufi |
| Institution: | 1. Department of Mathematics, University Houari Boumediene, Bab Ezzouar, Algeria;2. Laboratoire de Mathématiques Appliquées, Faculté des Sciences Exactes, Université de Béjaia, Bejaia, Algeria;3. Lab. E.D.P.N.L. and Hist. of Maths, Ecole Normale Supérieure, Kouba, Algiers, Algeria |
| Abstract: | 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  . Copyright © 2017 John Wiley & Sons, Ltd. |
| Keywords: | High‐order parabolic equations Conical domains Anisotropic weighted Sobolev spaces |