Nonlinear Wave Equations, Formation of Singularities (University Lecture Series) - Everett Pitcher, John Fritz (1990)
ISBN 0821870017
Publisher American Mathematical Society
Publication Date June 1990
Format Paperback (244 x 173 mm)
This is the second volume in the University Lecture Series, designed to make more widely available some of the outstanding lectures presented in various institutions around the country. Each year at Lehigh University, a distinguished mathematical scientist presents the Pitcher Lectures in the Mathematical Sciences. This volume contains the Pitcher lectures presented by Fritz John in April 1989.

The lectures deal with existence in the large of solutions of initial value problems for nonlinear hyperbolic partial differential equations. As is typical with nonlinear problems, there are many results and few general conclusions in this extensive subject, so the author restricts himself to a small portion of the field, in which it is possible to discern some general patterns. Presenting an exposition of recent research in this area, the author examines the way in which solutions can, even with small and very smooth initial data, "blow up" after a finite time. For various types of quasi-linear equations, this time depends strongly on the number of dimensions and the "size" of the data. Of particular interest is the formation of singularities for nonlinear wave equations in three space dimensions.

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Collection Status In Collection
Index 910
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Product Details
LoC Classification QA927 .J64 vol.2 1990
Cover Price $17.00
No. of Pages 64