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Zbl 0456.35001
Henry, Dan
Geometric theory of semilinear parabolic equations.
(English)
[B] Lecture Notes in Mathematics. 840. Berlin-Heidelberg-New York: Springer-Verlag. IV, 348 p. DM 39.00; \$ 20.50 (1981).

Display scanned Zentralblatt-MATH page with this review.
MSC 2000:
*35-02 Research monographs (partial differential equations)
35B10 Periodic solutions of PDE
35B35 Stability of solutions of PDE
35K55 Nonlinear parabolic equations
35B30 Dependence of solutions of PDE on initial and boundary data
35K60 (Nonlinear) BVP for (non)linear parabolic equations
35B40 Asymptotic behavior of solutions of PDE
35B15 Almost periodic solutions of PDE
35B50 Maximum principles (PDE)
34G20 Nonlinear ODE in abstract spaces
45D05 Volterra integral equations
47E05 Ordinary differential operators
47F05 Partial differential operators
80A25 Combustion, interior ballistics
92D25 Population dynamics

Keywords: geometric theory; semilinear parabolic equations; equilibrium points; periodic solutions; almost periodic solutions; invariant manifolds; asymptotical behavior; ordinary differential equation; Volterra integral equations; unbounded operators; linearization of equations; decomposition; Lyapunov functions; maximum principle arguments; contraction maps; analytic semigroup theory; theory of boundary problems; sectorial operators; existence and uniqueness theorems; abstract differential equations in a Banach space; gradient flow problems; bifurcations; transfer of stability; Gronwall's lemma; linear evolution families; Poincare map; population genetics; combustion

Cited in: Zbl pre06054499 Zbl 1252.34058 Zbl 1251.34001 Zbl 1240.35365 Zbl 1234.35323 Zbl 1151.34050 Zbl 1073.35179 Zbl 1058.65095 Zbl 1030.35015 Zbl 1006.35046 Zbl 0981.35018 Zbl 0980.35001 Zbl 0969.35074 Zbl 0977.34056 Zbl 0891.47027 Zbl 0861.35001 Zbl 0803.35067 Zbl 0724.35072 Zbl 0711.35026 Zbl 0658.34011 Zbl 0663.35001 Zbl 0591.35029 Zbl 0581.76051 Zbl 0552.35061

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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