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math.FA2022
Sobolev spaces on arbitrary domains and semigroups generated by fractional Laplacian
Reinhard Farwig, Tsukasa Iwabuchi
We describe a procedure to introduce Sobolev spaces and the semigroup generated by the fractional Dirichlet Laplacian on an arbitrary domain of . In particular, the well-defi…
math.AP2022★ 1 cited
Energy conservation law for weak solutions of the full compressible Navier-Stokes equations
Motofumi Aoki, Tsukasa Iwabuchi
We consider a sufficient condition for the energy conservation law of a weak solution for the full compressible Navier-Stokes equations on the torus. We prove that a weak solution…