Geometric theory of semilinear parabolic equations. (English) Zbl 0456.35001

Lecture Notes in Mathematics. 840. Berlin-Heidelberg-New York: Springer-Verlag. IV, 348 p. (1981).


35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations
35B10 Periodic solutions to PDEs
35B35 Stability in context of PDEs
35K55 Nonlinear parabolic equations
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35B40 Asymptotic behavior of solutions to PDEs
35B15 Almost and pseudo-almost periodic solutions to PDEs
35B50 Maximum principles in context of PDEs
34G20 Nonlinear differential equations in abstract spaces
45D05 Volterra integral equations
47E05 General theory of ordinary differential operators
47F05 General theory of partial differential operators
80A25 Combustion
92D25 Population dynamics (general)