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<P>THE ANALYSIS OF PDES IS A PROMINENT DISCIPLINE IN MATHEMATICS RESEARCH, BOTH IN TERMS OF ITS THEORETICAL ASPECTS AND ITS RELEVANCE IN APPLICATIONS. IN RECENT YEARS, THE GEOMETRIC PROPERTIES OF LINEAR AND NONLINEAR SECOND ORDER PDES OF ELLIPTIC AND PARABOLIC TYPE HAVE BEEN EXTENSIVELY STUDIED BY MANY OUTSTANDING RESEARCHERS. THIS BOOK COLLECTS CONTRIBUTIONS FROM A SELECTED GROUP OF LEADING EXPERTS WHO TOOK PART IN THE INDAM MEETING "GEOMETRIC METHODS IN PDES", ON THE OCCASION OF THE 70TH BIRTHDAY OF ERMANNO LANCONELLI. THEY DESCRIBE A NUMBER OF NEW ACHIEVEMENTS AND/OR THE STATE OF THE ART IN THEIR DISCIPLINE OF RESEARCH, PROVIDING READERS AN OVERVIEW OF RECENT PROGRESS AND FUTURE RESEARCH TRENDS IN PDES. IN PARTICULAR, THE VOLUME COLLECTS SIGNIFICANT RESULTS FOR SUB-ELLIPTIC EQUATIONS, POTENTIAL THEORY AND DIFFUSION EQUATIONS, WITH AN EMPHASIS ON COMPARING DIFFERENT METHODOLOGIES AND ON THEIR IMPLICATIONS FOR THEORY AND APPLICATIONS. </P>
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The analysis of PDEs is a prominent discipline in mathematics research, both in terms of its theoretical aspects and its relevance in applications. In recent years, the geometric properties of linear and nonlinear second order PDEs of elliptic and parabolic type have been extensively studied by many outstanding researchers. This book collects contributions from a selected group of leading experts who took part in the INdAM meeting "Geometric methods in PDEs", on the occasion of the 70th birthday of Ermanno Lanconelli. They describe a number of new achievements and/or the state of the art in their discipline of research, providing readers an overview of recent progress and future research trends in PDEs. In particular, the volume collects significant results for sub-elliptic equations, potential theory and diffusion equations, with an emphasis on comparing different methodologies and on their implications for theory and applications.
Analysis of PDEs is a prominent discipline of research in mathematics both for its theoretical aspects and for its relevance in applications. In recent years geometric properties of linear and nonlinear second order PDEs of elliptic and parabolic type have been extensively studied by many outstanding researchers. This book collects the scientific contributions of a selected group of leading experts which took part to the INdAM meeting "Geometric methods in PDEs", on the occasion of the 70th birthday of Ermanno Lanconelli. They describe some new achievements and/or the state of the art of their discipline of research, giving to the reader a concrete idea of many recent progress and future trends of research in PDEs. In particular, the volume collects significant results for sub-elliptic equations, potential theory and diffusion equations, with emphasis on the comparison between different methodologies and on theoretical and applicative implications.
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- VerlagSpringer
- Erscheinungsdatum2015
- ISBN 10 3319026658
- ISBN 13 9783319026657
- EinbandTapa dura
- Auflage1
- Anzahl der Seiten388
- HerausgeberCitti Giovanna, Manfredini Maria, Morbidelli Daniele
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Geometric Methods in PDE¿s
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ISBN 10: 3319026658
ISBN 13: 9783319026657
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Buchbeschreibung Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The analysis of PDEs is a prominent discipline in mathematics research, both in terms of its theoretical aspects and its relevance in applications. In recent years, the geometric properties of linear and nonlinear second order PDEs of elliptic and parabolic type have been extensively studied by many outstanding researchers. This book collects contributions from a selected group of leading experts who took part in the INdAM meeting 'Geometric methods in PDEs', on the occasion of the 70th birthday of Ermanno Lanconelli. They describe a number of new achievements and/or the state of the art in their discipline of research, providing readers an overview of recent progress and future research trends in PDEs. In particular, the volume collects significant results for sub-elliptic equations, potential theory and diffusion equations, with an emphasis on comparing different methodologies and on their implications for theory and applications. Artikel-Nr. 9783319026657
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