Examines the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy-Sobolev and Besov spaces. The authors use the so-called â first order approachâ which uses minimal assumptions on the coefficients.
Examines the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy-Sobolev and Besov spaces. The authors use the so-called â first order approachâ which uses minimal assumptions on the coefficients.
Alex Amenta, Delft University of Technology, The Netherlands. Pascal Auscher, Universite Paris-Sud, Orsay, France.
Inhaltsangabe
1. Introduction 2. Function space preliminaries 3. Operator theoretic preliminaries 4. Adapted Besov-Hardy-Sobolev spaces 5. Spaces adapted to perturbed Dirac operators 6. Classification of solutions to Cauchy-Riemann systems and elliptic equations 7. Applications to boundary value problems 8. Bibliography 9. Index.
1. Introduction 2. Function space preliminaries 3. Operator theoretic preliminaries 4. Adapted Besov-Hardy-Sobolev spaces 5. Spaces adapted to perturbed Dirac operators 6. Classification of solutions to Cauchy-Riemann systems and elliptic equations 7. Applications to boundary value problems 8. Bibliography 9. Index.
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