wave propagation inAufwärts:Models
of Mathematical PhysicsVorherige Seite:Boussinesq
Studying reaction-diffusion processes one has to consider the following
semilinear system of partial differential equations:
with the initial condition
In 1981 F. B. Weissler suggested to construct subsolutions and supersolutions.
Confere his paper Existence and nonexistence of global solutions for
semilinear heat equation Israel J. Math. 38, 29-40. More recently such
systems attract considerable attention. The main problem which is connected
with Fujita systems is the study of global existence and finite time blow-up
A late reference: G. Lu and B.D. Sleeman, (1994) Subsolutions
and Supersolutions to systems of parabolic equations with application to
genberalized Fujita-Type systems. MMAS Vol 17, 1005-1016.
collected and worked out by Wolfgang Sprößig, TU-Bergakademie