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Currently displaying 1 – 5 of 5

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Refinement of an Lp-Estimate of Solonnikov for a Parabolic Equation of the Second Order with Conormal Boundary Condition.

Peter Weidemaier — 1988

Mathematische Zeitschrift

Existence of Regular Solutions for a Quasilinear Wave Equation with the Third Boundary Condition.

Peter Weidemaier — 1986

Mathematische Zeitschrift

The trace theorem $W_{p}^{2, 1} (Ω_{T}) ∋ f \mapsto \nabla_{x} f \in W_{p}^{1 - 1 / p, 1 / 2 - 1 / 2 p} (\partial Ω_{T})$ revisited

Peter Weidemaier — 1991

Commentationes Mathematicae Universitatis Carolinae

Filling a possible gap in the literature, we give a complete and readable proof of this trace theorem, which also shows that the imbedding constant is uniformly bounded for $T ↓ 0$ . The proof is based on a version of Hardy’s inequality (cp. Appendix).

On the trace theory for functions in Sobolev spaces with mixed $L_{p}$ -norm

Peter Weidemaier — 1994

Czechoslovak Mathematical Journal

Maximal regularity for parabolic equations with inhomogeneous boundary conditions in Sobolev spaces with mixed $L_{p}$ -norm.

Weidemaier, Peter — 2002

Electronic Research Announcements of the American Mathematical Society [electronic only]

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