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ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Author: Martin Schechter
Title: Modern methods in partial differential equations, an introduction
Additional book information: McGraw-Hill, New York, 1977, xv + 245 pp.

References [Enhancements On Off] (What's this?)

  • 1. S. Agmon, Lectures on elliptic boundary value problems, Van Nostrand, New York, 1964. MR 178246
  • 2. S. Agmon, A. Douglis, and L. Nirenberg, Estimates near the boundary for solutions of elliptic differential equations satisfying general boundary conditions, Comm. Pure Appl. Math. 12 (1959), 623-727. MR 125307
  • 3. L. Bers, F. John, and M. Schechter, Partial differential equations, Wiley, New York, 1964. MR 162045
  • 4. R. Courant and D. Hilbert, Methods of mathematical physics. II, Wiley, New York, 1966. MR 195654
  • 5. J. Duistermaat and L. Hörmander, Fourier integral operators. II, Acta Math. 128 (1972), 183-259. MR 388464
  • 6. Y. V. Egorov, On canonical transformations of pseudodifferential equations, Uspehi Mat. Nauk 25 (1969), 235-236.
  • 7. L. Ehrenpreis, Fourier analysis in the complex domain, Wiley, New York, 1970.
  • 8. A. Friedman, Partial differential equations, Holt, Rinehart and Winston, New York, 1969. MR 445088
  • 9. A. Friedman, Stochastic differential equations and applications. I, II, Academic Press, New York, 1975. MR 494490
  • 10. G. Folland and E. Stein, Estimates for the $\bar \partial \sbb$ complex and analysis on the Heisenberg group, Comm. Pure Appl. Math. 27 (1974), 429-522. MR 367477
  • 11. P. Garabedian, Partial differential equations, Wiley, New York, 1964. MR 162045
  • 12. D. Gilbarg and N. Trudinger, Elliptic partial differential equations of second order, Springer-Verlag, New York, 1977. MR 473443
  • 13. L. Hörmander, Linear partial differential operators, Springer-Verlag, New York, 1964. MR 248435
  • 14. L. Hörmander, Pseudo-differential operators and hypoelliptic equations, singular integrals, Proc. Sympos. Pure Math., vol. 10, Amer. Math. Soc., Providence, R. I., 1967, pp. 138-183. MR 383152
  • 15. L. Hörmander, Fourier integral operators. I, Acta Math. 127 (1971), 79-183. MR 388463
  • 16. K. Ito and H. McKean, Diffusion processes and their sample paths, Springer-Verlag, New York, 1965. MR 199891
  • 17. P. Lax, Lectures on hyperbolic equations, Stanford Lecture Notes, 1963.
  • 18. P. Lax and R. Phillips, Scattering theory, Academic Press, New York, 1967. MR 217440
  • 19. J. Lions and E. Magenes, Problèmes aux limites non homogènes et leurs applications, Dunod, Paris, 1967.
  • 20. H. McKean, Stochastic integrals, Academic Press, New York, 1969. MR 247684
  • 21. W. Miller, Jr., Symmetry and separation of variables, Encyclopedia of Math. and its Applications, vol. 4, Addison-Wesley, Reading, Mass., 1977. MR 460751
  • 22. L. Nirenberg, Lectures on linear partial differential equations, CBMS Regional Conf. Ser. in Math., no. 17, Amer. Math. Soc., Providence, R. I., 1973, pp. 1-46. MR 450755
  • 23. M. Protter and H. Weinberger, Maximum principles in differential equations, Prentice-Hall, Englewood Cliffs, N. J., 1967. MR 219861
  • 24. M. Reed and B. Simon, Methods of mathematical physics, Academic Press, New York, Vol. I, 1975, Functional analysis, Vol. II, 1975, Fourier analysis and self adjointness, Vol. III, Scattering theory (to appear), Vol. IV, 1979, Spectral theory.
  • 25. M. Sato, T. Kawai, and M. Kashiwara, Microfunctions and pseudo differential equations, Lecture Notes in Math., vol. 287, Springer-Verlag, New York, 1973, pp. 265-529. MR 420735
  • 26. M. Schechter, Spectra of partial differential operators, North-Holland, Amsterdam, 1971. MR 869254
  • 27. E. Stein, Singular integral operators and differentiability properties of functions, Princeton Univ. Press, Princeton, N. J., 1970.
  • 28. E. Stein, and G. Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton Univ. Press, Princeton, N. J., 1971. MR 304972
  • 29. K. Yosida, Functional analysis, Springer-Verlag, New York, 1965.

Review Information:

Reviewer: Michael E. Taylor
Journal: Bull. Amer. Math. Soc. 1 (1979), 661-667
DOI: https://doi.org/10.1090/S0273-0979-1979-14653-6
American Mathematical Society