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Elliptic theory in domains with boundaries of mixed dimension/ Guy David, Joseph Feneuil & Svitlana Mayboroda

By: Contributor(s): Material type: TextTextSeries: Asterisque ; 442Publication details: Paris: Societe Mathhematique De France, 2023Description: vi, 139 pages, 24 cmISBN:
  • 9782856299746
Subject(s): DDC classification:
  • 23 515.7242 D249
Contents:
Motivation and a general overview of the main results -- Our assumptions -- Some examples where our assumptions hold -- The definition of the space W -- The access cones and their properties -- The trace theorem -- Poincare inequalities on the boundary -- The extension theorem -- Completeness of W and density of smooth functions -- The localized versions Wr (E) of our energy space W -- Definitions of solutions and their properties -- Construction of the harmonic measure -- Bounded boundaries -- Green functions -- Comparison principle
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Includes bibliography

Motivation and a general overview of the main results -- Our assumptions -- Some examples where our assumptions hold -- The definition of the space W -- The access cones and their properties -- The trace theorem -- Poincare inequalities on the boundary -- The extension theorem -- Completeness of W and density of smooth functions -- The localized versions Wr (E) of our energy space W -- Definitions of solutions and their properties -- Construction of the harmonic measure -- Bounded boundaries -- Green functions -- Comparison principle

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