Henry, Daniel.
Geometric Theory of Semilinear Parabolic Equations [electronic resource] / by Daniel Henry. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1981. - VI, 350 p. online resource. - Lecture Notes in Mathematics, 840 0075-8434 ; . - Lecture Notes in Mathematics, 840 .
Preliminaries -- Examples of nonlinear parabolic equations in physical, biological and engineering problems -- Existence, uniqueness and continuous dependence -- Dynamical systems and liapunov stability -- Neighborhood of an equilibrium point -- Invariant manifolds near an equilibrium point -- Linear nonautonomous equations -- Neighborhood of a periodic solution -- The neighborhood of an invariant manifold -- Two examples.
9783540385288
10.1007/BFb0089647 doi
Mathematics.
Differential equations, partial.
Mathematics.
Partial Differential Equations.
QA370-380
515.353
Geometric Theory of Semilinear Parabolic Equations [electronic resource] / by Daniel Henry. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1981. - VI, 350 p. online resource. - Lecture Notes in Mathematics, 840 0075-8434 ; . - Lecture Notes in Mathematics, 840 .
Preliminaries -- Examples of nonlinear parabolic equations in physical, biological and engineering problems -- Existence, uniqueness and continuous dependence -- Dynamical systems and liapunov stability -- Neighborhood of an equilibrium point -- Invariant manifolds near an equilibrium point -- Linear nonautonomous equations -- Neighborhood of a periodic solution -- The neighborhood of an invariant manifold -- Two examples.
9783540385288
10.1007/BFb0089647 doi
Mathematics.
Differential equations, partial.
Mathematics.
Partial Differential Equations.
QA370-380
515.353