A Basic Course in Partial Differential Equations

Qing Han

ISBN 10: 0821852558 / ISBN 13: 9780821852552

Verlag: American Mathematical Society, US, 2011

Beschreibung

This is a textbook for an introductory graduate course on partial differential equations. Han focuses on linear equations of first and second order. An important feature of his treatment is that the majority of the techniques are applicable more generally. In particular, Han emphasizes a priori estimates throughout the text, even for those equations that can be solved explicitly. Such estimates are indispensable tools for proving the existence and uniqueness of solutions to PDEs, being especially important for nonlinear equations. The estimates are also crucial to establishing properties of the solutions, such as the continuous dependence on parameters. Han's book is suitable for students interested in the mathematical theory of partial differential equations, either as an overview of the subject or as an introduction leading to further study.

Bestandsnummer des Verkäufers LU-9780821852552

Bibliografische Details

• Titel: A Basic Course in Partial Differential Equations
• Verlag: American Mathematical Society, US
• Erscheinungsjahr: 2011
• Sprache: Englisch
• ISBN-10: 0821852558
• ISBN-13: 9780821852552
• Einband: Hardback
• Zustand: New

Über diesen Titel

Inhaltsangabe

This is a textbook for an introductory graduate course on partial differential equations. Han focuses on linear equations of first and second order. An important feature of his treatment is that the majority of the techniques are applicable more generally. In particular, Han emphasizes a priori estimates throughout the text, even for those equations that can be solved explicitly. Such estimates are indispensable tools for proving the existence and uniqueness of solutions to PDEs, being especially important for nonlinear equations. The estimates are also crucial to establishing properties of the solutions, such as the continuous dependence on parameters. Han's book is suitable for students interested in the mathematical theory of partial differential equations, either as an overview of the subject or as an introduction leading to further study.

Über die Autorin bzw. den Autor

Qing Han, University of Notre Dame, Notre Dame, IN, USA