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LECTURE NOTES ON MIXED TYPE PARTIAL DIFFERENTIAL EQUATIONS
by John M Rassias (The National University of Athens)
This book discusses various parts of the theory of mixed type partial differential equations with boundary conditions such as: Chaplygin's classical dynamical equation of mixed type, the theory of regularity of solutions in the sense of Tricomi, Tricomi's fundamental idea and one-dimensional singular integral equations on non-Carleman type, Gellerstedt's characteristic problem and Frankl's non-characteristic problem, Bitsadze and Lavrentjev's mixed type boundary value problems, quasi-regularity of solutions in the classical sense. Some of the latest results of the author are also presented in this book.
Contents:
- The Dynamical Equation of Mixed Type
- The Tricomi Problem
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Regularity of Solutions (in the sense of Tricomi)
- Fundamental Idea of Tricomi
- The Bitsadze-Lavrentjev Problem
- The Gellerstedt Problem
- The Frankl Problem
- Quasi-Regularity of Solutions (in the sense of Protter)
- The a, b, c Energy Integral Method
- Weak (or Strong) Solutions in the Classical Sense
- Well Posedness
- A Selection of New Results
- Open Problems
- Basic Books
Readership: Undergraduate, graduate students and research workers in
mathematics and physics.
| 152pp |
Pub. date: Aug 1990 |
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