Book Review
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Book Information:
Author:
L. C. Evans
Title:
Partial differential equations
Additional book information:
Grad. Stud. Math., vol. 19, Amer. Math. Soc.,
Providence, RI,
1998,
xvii + 662 pp.,
ISBN 0-8218-0772-2,
$75.00$
Shmuel Agmon, Lectures on elliptic boundary value problems, Van Nostrand Mathematical Studies, No. 2, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London, 1965. Prepared for publication by B. Frank Jones, Jr. with the assistance of George W. Batten, Jr. MR 0178246
Lipman Bers, Fritz John, and Martin Schechter, Partial differential equations, Lectures in Applied Mathematics, Vol. III, Interscience Publishers, a division of John Wiley & Sons, Inc., New York-London-Sydney, 1964. With special lectures by Lars Garding and A. N. Milgram. MR 0163043
Jacques Chazarain and Alain Piriou, Introduction to the theory of linear partial differential equations, Studies in Mathematics and its Applications, vol. 14, North-Holland Publishing Co., Amsterdam-New York, 1982. Translated from the French. MR 678605
P. R. Garabedian, Partial differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 0162045
David Gilbarg and Neil S. Trudinger, Elliptic partial differential equations of second order, 2nd ed., Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 224, Springer-Verlag, Berlin, 1983. MR 737190, DOI 10.1007/978-3-642-61798-0
Lars Hörmander, The analysis of linear partial differential operators. I, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 256, Springer-Verlag, Berlin, 1983. Distribution theory and Fourier analysis. MR 717035, DOI 10.1007/978-3-642-96750-4
Fritz John, Partial differential equations, 4th ed., Applied Mathematical Sciences, vol. 1, Springer-Verlag, New York, 1982. MR 831655, DOI 10.1007/978-1-4684-9333-7
J.-L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris; Gauthier-Villars, Paris, 1969 (French). MR 0259693
Jeffrey Rauch, Partial differential equations, Graduate Texts in Mathematics, vol. 128, Springer-Verlag, New York, 1991. MR 1223093, DOI 10.1007/978-1-4612-0953-9
Joel Smoller, Shock waves and reaction-diffusion equations, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 258, Springer-Verlag, New York-Berlin, 1983. MR 688146
Michael E. Taylor, Partial differential equations, Texts in Applied Mathematics, vol. 23, Springer-Verlag, New York, 1996. Basic theory. MR 1395147, DOI 10.1007/978-1-4684-9320-7
François Trèves, Basic linear partial differential equations, Pure and Applied Mathematics, Vol. 62, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1975. MR 0447753
- [A]
- S. Agmon, Lectures on Elliptic Boundary Value Problems, D. Van Nostrand, 1965. MR 0178246
- [BJS]
- L. Bers. F. John, and M. Schecter, Partial Differential Equations, John Wiley and Sons, 1964. MR 0163043
- [CP]
- J. Chazarain and A. Piriou, Introduction to the Theory of Linear Partial Differential Equations, North-Holland, 1982. MR 0678605
- [G]
- P. Garabedian, Partial Differential Equations, John Wiley and Sons, 1964. MR 0162045
- [GT]
- D. Gilbarg and N. Trudinger, Elliptic Partial Differential Equations of Second Order,
ed., Springer-Verlag, 1983. MR 0737190
- [H]
- L. Hörmander, The Analysis of Partial Differential Equations vols. I-IV, Springer-Verlag, 1983, 1983, 1985, 1985. MR 0717035; MR 85g:35002b; MR 87d:35002a; MR 87d:35002b
- [J]
- F. John, Partial Differential Equations,
ed., Springer-Verlag, 1982. MR 0831655
- [L]
- J.-L. Lions, Quelque Méthodes de Résolution des Problèmes aux Limites non Linéaires Dunod, 1969. MR 0259693
- [R]
- J. Rauch, Partial Differential Equations, Springer-Verlag, 1991. MR 1223093
- [S]
- J. Smoller, Shock Waves and Reaction-Diffusion Equations, Springer-Verlag, 1983. MR 0688146
- [Ta]
- M. Taylor, Partial Differential Equations vols. I-III, Springer-Verlag, 1996, 1997. MR 1395147; MR 98b:35003; MR 98k:35001
- [Tr]
- F. Treves, Basic Linear Partial Differential Equations, Academic Press, 1975. MR 0447753
Review Information:
Reviewer:
Jeffrey Rauch
Affiliation:
University of Michigan
Email:
rauch@umich.edu
Journal:
Bull. Amer. Math. Soc.
37 (2000), 363-367
DOI:
https://doi.org/10.1090/S0273-0979-00-00868-5
Published electronically:
March 3, 2000
Review copyright:
© Copyright 2000
American Mathematical Society
