In this treatise we present the semigroup approach to quasilinear evolution equa of parabolic type that has been developed over the last ten years, approxi tions mately. It emphasizes the dynamic viewpoint and is sufficiently general and flexible to encompass a great variety of concrete systems of partial differential equations occurring in science, some of those being of rather 'nonstandard' type. In partic ular, to date it is the only general method that applies to noncoercive systems. Although we are interested in nonlinear problems, our method is based on the theory of linear holomorphic...
In this treatise we present the semigroup approach to quasilinear evolution equa of parabolic type that has been developed over the last ten years, ap...
Der zweite Band dieser Einfuhrung in die Analysis behandelt die Integrationstheorie von Funktionen einer Variablen, die mehrdimensionale Differentialrechnung und die Theorie der Kurven und Kurvenintegrale. Der im ersten Band begonnene moderne und klare Aufbau wird konsequent fortgesetzt. Dadurch wird ein tragfahiges Fundament geschaffen, das es erlaubt, interessante Anwendungen zu behandeln, die zum Teil weit uber den in der ublichen Lehrbuchliteratur behandelten Stoff hinausgehen.
Zahlreiche Ubungsaufgaben von unterschiedlichem Schwierigkeitsgrad und viele informative Abbildungen...
Der zweite Band dieser Einfuhrung in die Analysis behandelt die Integrationstheorie von Funktionen einer Variablen, die mehrdimensionale Differenti...
"This textbook provides an outstanding introduction to analysis. It is distinguished by its high level of presentation and its focus on the essential.'' (Zeitschrift fur Analysis und ihre Anwendung 18, No. 4 - G. Berger, review of the first German edition)
"One advantage of this presentation is that the power of the abstract concepts are convincingly demonstrated using concrete applications.'' (W. Grolz, review of the first German edition)
"This textbook provides an outstanding introduction to analysis. It is distinguished by its high level of presentation and its focus on the essenti...
The third and last volume of this work is devoted to integration theory and the fundamentals of global analysis. Once again, emphasis is laid on a modern and clear organization, leading to a well structured and elegant theory and providing the reader with effective means for further development. Thus, for instance, the Bochner-Lebesgue integral is considered with care, since it constitutes an indispensable tool in the modern theory of partial differential equations. Similarly, there is discussion and a proof of a version of Stokes Theorem that makes ample allowance for the practical needs...
The third and last volume of this work is devoted to integration theory and the fundamentals of global analysis. Once again, emphasis is laid on a ...
Gunter Lumer was an outstanding mathematician whose works have great influence on the research community in mathematical analysis and evolution equations. He was at the origin of the breath-taking development the theory of semigroups saw after the pioneering book of Hille and Phillips from 1957. This volume contains invited contributions presenting the state of the art of these topics and reflecting the broad interests of Gunter Lumer.
Gunter Lumer was an outstanding mathematician whose works have great influence on the research community in mathematical analysis and evolution equ...
Dieses Lehrbuch ist der erste Band einer dreiteiligen Einfuhrung in die Analysis. Es ist durch einen modernen und klaren Aufbau gepragt, der versucht den Blick auf das Wesentliche zu richten. Anders als in den ublichen Lehrbuchern wird keine kunstliche Trennung zwischen der Theorie einer Variablen und derjenigen mehrerer Veranderlicher vorgenommen. Der Leser soll in dem Erkennen der wesentlichen Inhalte und Ideen der Analysis geschult werden und sich ein solides Fundament fur das Studium tieferliegender Theorien erwerben. Das Werk richtet sich an Horer und Dozenten der Anfangervorlesung...
Dieses Lehrbuch ist der erste Band einer dreiteiligen Einfuhrung in die Analysis. Es ist durch einen modernen und klaren Aufbau gepragt, der versuc...
Der dritte und letzte Band dieser Reihe ist der Integrationstheorie und den Grundlagen der globalen Analysis gewidmet. Es wird wiederum viel Wert auf einen modernen und klaren Aufbau gelegt, der nicht nur eine wohl strukturierte schone Theorie liefert, sondern dem Leser auch schlagkraftige Werkzeuge fur seine weitere Beschaftigung mit der Mathematik in die Hand gibt. Aus diesem Grund wird beispielsweise konsequent das Bochner-Lebesguesche Integral entwickelt, welches ein unverzichtbares Hilfsmittel fur die moderne Theorie der partiellen Differentialgleichungen darstellt. Ebenso wird eine...
Der dritte und letzte Band dieser Reihe ist der Integrationstheorie und den Grundlagen der globalen Analysis gewidmet. Es wird wiederum viel Wert a...
In this treatise we present the semigroup approach to quasilinear evolution equa of parabolic type that has been developed over the last ten years, approxi tions mately. It emphasizes the dynamic viewpoint and is sufficiently general and flexible to encompass a great variety of concrete systems of partial differential equations occurring in science, some of those being of rather 'nonstandard' type. In partic ular, to date it is the only general method that applies to noncoercive systems. Although we are interested in nonlinear problems, our method is based on the theory of linear holomorphic...
In this treatise we present the semigroup approach to quasilinear evolution equa of parabolic type that has been developed over the last ten years, ap...
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.
The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level.
The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late...
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart ...
