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The Laplace Equation
  • Language: en
  • Pages: 669

The Laplace Equation

  • Type: Book
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  • Published: 2018-03-31
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  • Publisher: Springer

This book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains. It studies the Dirichlet problem, the Neumann problem, the Robin problem, the derivative oblique problem, the transmission problem, the skip problem and mixed problems. It also examines different solutions - classical, in Sobolev spaces, in Besov spaces, in homogeneous Sobolev spaces and in the sense of non-tangential limit. It also explains relations between different solutions. The book has been written in a way that makes it as readable as possible for a wide mathematical audience, and includes all the fundamental definitions and propositions from other fields of mathematics. This book is of interest to research students, as well as experts in partial differential equations and numerical analysis.

Boundedness of the Solution of the Third Problem for the Laplace Equation
  • Language: en
  • Pages: 28

Boundedness of the Solution of the Third Problem for the Laplace Equation

  • Type: Book
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  • Published: 2002
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  • Publisher: Unknown

None

Solution of the Robin Problem for the Laplace Equation
  • Language: en
  • Pages: 20

Solution of the Robin Problem for the Laplace Equation

  • Type: Book
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  • Published: 1997
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  • Publisher: Unknown

None

Solution of the Neumann Problem for the Laplace Equation
  • Language: en
  • Pages: 27

Solution of the Neumann Problem for the Laplace Equation

  • Type: Book
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  • Published: 1996
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  • Publisher: Unknown

None

Neumann and Robin Problems in a Cracked Domain with Jump Conditions on Cracks
  • Language: en
  • Pages: 18
Solution of the Dirichlet Problem for the Laplace Equation
  • Language: en
  • Pages: 30

Solution of the Dirichlet Problem for the Laplace Equation

  • Type: Book
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  • Published: 1998
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  • Publisher: Unknown

None

On the Neumann Operator of the Arithmetical Mean
  • Language: en
  • Pages: 26

On the Neumann Operator of the Arithmetical Mean

  • Type: Book
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  • Published: 1992
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  • Publisher: Unknown

None

Continuous Extendibility of Solutions of the Neumann Problem for the Laplace Equation
  • Language: en
  • Pages: 22

Continuous Extendibility of Solutions of the Neumann Problem for the Laplace Equation

  • Type: Book
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  • Published: 2000
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  • Publisher: Unknown

None

Solution of the Dirichlet Problem for the Laplace Equations
  • Language: en
  • Pages: 30

Solution of the Dirichlet Problem for the Laplace Equations

  • Type: Book
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  • Published: 1998
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  • Publisher: Unknown

None

Essential Norms of a Potential Theoretic Boundary Integral Operator in L 1
  • Language: en
  • Pages: 21

Essential Norms of a Potential Theoretic Boundary Integral Operator in L 1

  • Type: Book
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  • Published: 1997
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  • Publisher: Unknown

None