Representation Theorems and Fatou Theorems for Second-Order Linear Parabolic Partial Differential Equations

1971 ◽  
Vol s3-23 (2) ◽  
pp. 325-347 ◽  
Author(s):  
Raymond Johnson
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Second Order ◽  
Parabolic Partial Differential Equations ◽  
Representation Theorems ◽  
Partial Differential ◽  
Order Linear

scholarly journals Modification of balayage spaces by transitions with application to coupling of PDE’s

2003 ◽  
Vol 169 ◽  
pp. 77-118 ◽  
Author(s):  
Wolfhard Hansen
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Second Order ◽  
Parabolic Partial Differential Equations ◽  
Partial Differential

AbstractModifications of balayage spaces are studied which, in probabilistic terms, correspond to killing and transitions (creation of mass combined with jumps). This is achieved by a modification of harmonic kernels for sufficiently small open sets. Applications to coupling of elliptic and parabolic partial differential equations of second order are discussed.

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