Diffusions, superdiffusions and PDEs

This book describes the relationships between linear and semilinear differential equations and the corresponding Markov processes of diffusions and superdiffusions. Parabolic equations and branching exit Markov systems are examined, as are elliptic equations and diffusions. Appendices cover basic facts about Markov processes, martingales, and elliptic differential equations. Standing problems are outlined in the epilogue.