Pavel, Nicolae H.
Nonlinear Evolution Operators and Semigroups Applications to Partial Differential Equations / [electronic resource] : by Nicolae H. Pavel. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1987. - VIII, 288 p. online resource. - Lecture Notes in Mathematics, 1260 0075-8434 ; . - Lecture Notes in Mathematics, 1260 .
Nonlinear evolution operators -- Nonlinear semigroups -- Applications to partial differential equations.
This research monograph deals with nonlinear evolution operators and semigroups generated by dissipative (accretive), possibly multivalued operators, as well as with the application of this theory to partial differential equations. It shows that a large class of PDE's can be studied via the semigroup approach. This theory is not available otherwise in the self-contained form provided by these Notes and moreover a considerable part of the results, proofs and methods are not to be found in other books. The exponential formula of Crandall and Liggett, some simple estimates due to Kobayashi and others, the characterization of compact semigroups due to Brézis, the proof of a fundamental property due to Ursescu and the author and some applications to PDE are of particular interest. Assuming only basic knowledge of functional analysis, the book will be of interest to researchers and graduate students in nonlinear analysis and PDE, and to mathematical physicists.
9783540471868
10.1007/BFb0077768 doi
Mathematics.
Global analysis (Mathematics).
Mathematics.
Analysis.
QA299.6-433
515
Nonlinear Evolution Operators and Semigroups Applications to Partial Differential Equations / [electronic resource] : by Nicolae H. Pavel. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1987. - VIII, 288 p. online resource. - Lecture Notes in Mathematics, 1260 0075-8434 ; . - Lecture Notes in Mathematics, 1260 .
Nonlinear evolution operators -- Nonlinear semigroups -- Applications to partial differential equations.
This research monograph deals with nonlinear evolution operators and semigroups generated by dissipative (accretive), possibly multivalued operators, as well as with the application of this theory to partial differential equations. It shows that a large class of PDE's can be studied via the semigroup approach. This theory is not available otherwise in the self-contained form provided by these Notes and moreover a considerable part of the results, proofs and methods are not to be found in other books. The exponential formula of Crandall and Liggett, some simple estimates due to Kobayashi and others, the characterization of compact semigroups due to Brézis, the proof of a fundamental property due to Ursescu and the author and some applications to PDE are of particular interest. Assuming only basic knowledge of functional analysis, the book will be of interest to researchers and graduate students in nonlinear analysis and PDE, and to mathematical physicists.
9783540471868
10.1007/BFb0077768 doi
Mathematics.
Global analysis (Mathematics).
Mathematics.
Analysis.
QA299.6-433
515