Overview

Das vorliegende Lehrbuch enthält eine Einführung in die nichtlineare Funktionalanalysis. Die Themenauswahl beinhaltet Methoden und Techniken, die, neben dem allgemeinen Interesse, bei der Untersuchung von nichtlinearen elliptischen und parabolischen partiellen Differentialgleichungen benutzt werden. Es wird insbesondere auf Fixpunktsätze, Differentiation und Integration in Banachräumen, monotone Operatoren und den Abbildungsgrad eingegangen. Der Darstellung des Stoffes liegt das Zusammenspiel und die gegenseitige Beeinflussung von Theorie und Anwendungen zugrunde. Kurze Einführungen am Kapitelanfang, illustrative Beispiele sowie die detaillierte Herleitung von Ergebnissen erleichtern das Verständnis. Ein Appendix mit einer Kurzzusammenfassung von Ergebnissen aus der linearen Funktionalanalysis rundet die Darstellung ab. Das Buch richtet sich an Studierende ab dem 6. Semester und umfasst den Lehrstoff für ein Semester.

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9783540200666

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<p>From the reviews: <p><p> The book is based on a one-semester course (the 6th semester) taught by the author ... . Its aim is to provide the reader with the basic results and techniques in the field, which can form a basis for the reading of more advanced books . The book is clearly written, with complete and carefully written proofs and illuminating examples. It can serve as a base text for introductory courses in nonlinear functional analysis. (S. Cobzas, Studia Universitatis Babes-Bolyai Mathematica, Vol. L (2), 2005)

From the reviews: The book is based on a one-semester course (the 6th semester) taught by the author ... . Its aim is to provide the reader with the basic results and techniques in the field, which can form a basis for the reading of more advanced books . The book is clearly written, with complete and carefully written proofs and illuminating examples. It can serve as a base text for introductory courses in nonlinear functional analysis. (S. Cobzas, Studia Universitatis Babes-Bolyai Mathematica, Vol. L (2), 2005)

From the reviews: The book is based on a one-semester course (the 6th semester) taught by the author ... . Its aim is to provide the reader with the basic results and techniques in the field, which can form a basis for the reading of more advanced books . The book is clearly written, with complete and carefully written proofs and illuminating examples. It can serve as a base text for introductory courses in nonlinear functional analysis. (S. Cobzas, Studia Universitatis Babes-Bolyai Mathematica, Vol. L (2), 2005) From the reviews: The book is based on a one-semester course (the 6th semester) taught by the author ... . Its aim is to provide the reader with the basic results and techniques in the field, which can form a basis for the reading of more advanced books ... . The book is clearly written, with complete and carefully written proofs and illuminating examples. It can serve as a base text for introductory courses in nonlinear functional analysis. (S. Cobzas, Studia Universitatis Babes-Bolyai Mathematica, Vol. L (2), 2005) From the reviews: The book is based on a one-semester course (the 6th semester) taught by the author ... . Its aim is to provide the reader with the basic results and techniques in the field, which can form a basis for the reading of more advanced books . The book is clearly written, with complete and carefully written proofs and illuminating examples. It can serve as a base text for introductory courses in nonlinear functional analysis. (S. Cobzas, Studia Universitatis Babes-Bolyai Mathematica, Vol. L (2), 2005) From the reviews: The book is based on a one-semester course (the 6th semester) taught by the author ... . Its aim is to provide the reader with the basic results and techniques in the field, which can form a basis for the reading of more advanced books . The book is clearly written, with complete and carefully written proofs and illuminating examples. It can serve as a base text for introductory courses in nonlinear functional analysis. (S. Cobzas, Studia Universitatis Babes-Bolyai Mathematica, Vol. L (2), 2005) From the reviews: The book is based on a one-semester course (the 6th semester) taught by the author ... . Its aim is to provide the reader with the basic results and techniques in the field, which can form a basis for the reading of more advanced books . The book is clearly written, with complete and carefully written proofs and illuminating examples. It can serve as a base text for introductory courses in nonlinear functional analysis. (S. Cobzas, Studia Universitatis Babes-Bolyai Mathematica, Vol. L (2), 2005) From the reviews: The book is based on a one-semester course (the 6th semester) taught by the author ... . Its aim is to provide the reader with the basic results and techniques in the field, which can form a basis for the reading of more advanced books a ] . The book is clearly written, with complete and carefully written proofs and illuminating examples. It can serve as a base text for introductory courses in nonlinear functional analysis. (S. Cobzas, Studia Universitatis Babes-Bolyai Mathematica, Vol. L (2), 2005)

From the reviews: <p> The book is based on a one-semester course (the 6th semester) taught by the author ... . Its aim is to provide the reader with the basic results and techniques in the field, which can form a basis for the reading of more advanced books a ] . The book is clearly written, with complete and carefully written proofs and illuminating examples. It can serve as a base text for introductory courses in nonlinear functional analysis. (S. Cobzas, Studia Universitatis Babes-Bolyai Mathematica, Vol. L (2), 2005)

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