TY  - BOOK
AU  - David,Guy
AU  - Feneuil,Joseph
AU  - Mayboroda,Svitlana
TI  - Elliptic theory in domains with boundaries of mixed dimension
T2  - Asterisque
SN  - 9782856299746
U1  - 515.7242 23
PY  - 2023///
CY  - Paris
PB  - Societe Mathhematique De France
KW  - Mathematics
KW  - Analysis
KW  - Elliptic Theory
KW  - Operator Theory
KW  - Elliptic Operators
KW  - Inequalities on Boundary
N1  - 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
ER  -