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).
MSC:
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) |