Abstract
Modifications 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.
Citation
Wolfhard Hansen. "Modification of balayage spaces by transitions with application to coupling of PDE's." Nagoya Math. J. 169 77 - 118, 2003.
Information