The hilbert boundary value problem for elliptic differential equation in the plane

DOI10.1080/00036818808839793zbMath0631.35014OpenAlexW1993556159WikidataQ58136256 ScholiaQ58136256MaRDI QIDQ3767714

Ali Seif Mshimba

Publication date: 1988

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818808839793

zbMATH Keywords

Sobolev spaceHilbert boundary value problemunique solutionHölder-continuously differentiableSlobodecky space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Boundary value problems for linear first-order PDEs (35F15)

Cites Work

• The method of Cauchy-type integrals in discontinuous boundary value problems of the theory of holomorphic functions of a complex variable
• Singular integrals
• On the existence of certain singular integrals
• On the hilbert boundary value problem for holomorphic function in sobolev spaces
• Construction of the Solution to the Dirichlet Boundary Value Problem Belonging toW1,p (G) for Systems of General (Linear or Nonlinear) Partial Differential Equations in the Plane
• Die neuen Methoden der komplexen Analysis und ihre Anwendung auf nichtlineare Differentialgleichungssysteme
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