The Poisson problem for the exterior derivative operator with Dirichlet boundary condition in nonsmooth domains

By D. Mitrea, M. Mitrea, Sylvie Monniaux. 2008

70 citations recorded by the source corpus.

We formulate and solve the Poisson problem for the exterior derivative operator with Dirichlet boundary condition in Lipschitz domains, of arbitrary topology, for data in Besov and Triebel-Lizorkin spaces.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/6f22492798853980fd99d4fbd0c16353a72e2d02

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In Applied Mathematics

1. Sylvie Monniaux
2. M. Mitrea
3. Hans Triebel
4. D. Mitrea
5. Jussi Behrndt
6. M. Wright
7. Martin Dindos
8. S. Hofmann

In Computational Theory and Mathematics

1. Sylvie Monniaux
2. M. Mitrea
3. Olaf Post
4. Fritz Gesztesy
5. Jussi Behrndt

Citations in the corpus

• The regularity of the Stokes operator and the Fujita–Kato approach to the Navier–Stokes initial value problem in Lipschitz domains (2008, methodology): “Here we only wish to point out that Proposition 2.5 naturally extends to Lipschitz subdomains of smooth manifolds since the results from [ 37 ] on which its proof is based have been originally derived in the manifold setting to begin with.”