Geometric Theory of Semilinear Parabolic Equations

Geometric Theory of Semilinear Parabolic Equations

1981 | Dan Henry
This chapter provides an overview of the contents of the book "Geometric Theory of Semilinear Parabolic Equations" by Daniel Henry. The book is part of the Lecture Notes in Mathematics series, edited by A. Dold and B. Eckmann, and published by Springer-Verlag in 1981. It covers various aspects of semilinear parabolic equations, including preliminaries, examples from physical, biological, and engineering problems, existence, uniqueness, and continuous dependence of solutions, dynamical systems and Liapunov stability, neighborhoods of equilibrium points and periodic solutions, invariant manifolds, and linear nonautonomous equations. The chapter also includes appendices and references, making it a comprehensive resource for researchers and students in the field of partial differential equations and their applications.This chapter provides an overview of the contents of the book "Geometric Theory of Semilinear Parabolic Equations" by Daniel Henry. The book is part of the Lecture Notes in Mathematics series, edited by A. Dold and B. Eckmann, and published by Springer-Verlag in 1981. It covers various aspects of semilinear parabolic equations, including preliminaries, examples from physical, biological, and engineering problems, existence, uniqueness, and continuous dependence of solutions, dynamical systems and Liapunov stability, neighborhoods of equilibrium points and periodic solutions, invariant manifolds, and linear nonautonomous equations. The chapter also includes appendices and references, making it a comprehensive resource for researchers and students in the field of partial differential equations and their applications.
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