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Partial differential equations (book list)

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This is a section of the Basic Math Library List


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Evans, Lawrence C.(1-CA) Partial differential equations. (English. English summary) Graduate Studies in Mathematics, 19. American Mathematical Society, Providence, RI, 1998. xviii+662 pp. \$75.00. ISBN 0-8218-0772-2


Gilbarg, David(1-STF); Trudinger, Neil S.(5-ANU) Elliptic partial differential equations of second order. Second edition. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 224. Springer-Verlag, Berlin, 1983. xiii+513 pp. \$45.50. ISBN 3-540-13025-X


Folland, Gerald B.(1-WA) Introduction to partial differential equations. (English. English summary) Second edition. Princeton University Press, Princeton, NJ, 1995. xii+324 pp. \$39.50. ISBN 0-691-04361-2


Renardy, Michael(1-VAPI); Rogers, Robert C.(1-VAPI) An introduction to partial differential equations. Texts in Applied Mathematics, 13. Springer-Verlag, New York, 1993. xiv+428 pp. \$42.00. ISBN 0-387-97952-2


John, Fritz(1-NY-X) Partial differential equations. Fourth edition. Applied Mathematical Sciences, 1. Springer-Verlag, New York, 1982. x+249 pp. \$32.00. ISBN 0-387-90609-6


Smoller, Joel(1-MI) Shock waves and reaction-diffusion equations. Second edition. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 258. Springer-Verlag, New York, 1994. xxiv+632 pp. \$79.00. ISBN 0-387-94259-9


Evans, Lawrence C.(1-CA); Gariepy, Ronald F.(1-KY) Measure theory and fine properties of functions. Studies in Advanced Mathematics. CRC Press, Boca Raton, FL, 1992. viii+268 pp. \$59.95. ISBN 0-8493-7157-0


Iorio, Rafael José, Jr.(BR-IMPA); Iorio, Valéria de Magalhães Fourier analysis and partial differential equations. (English. English summary) Cambridge Studies in Advanced Mathematics, 70. Cambridge University Press, Cambridge, 2001. xii+411 pp. \$69.95. ISBN 0-521-62116-X


Ziemer, William P.(1-IN) Weakly differentiable functions. Sobolev spaces and functions of bounded variation. Graduate Texts in Mathematics, 120. Springer-Verlag, New York, 1989. xvi+308 pp. \$49.00. ISBN 0-387-97017-7



Andrews, Larry C. Elementary Partial Differential Equations with Boundary Value Problems New York, NY: Academic Press, 1986.

Baker, Bevan B. and Copson, E.T. The Mathematical Theory of Huygens' Principle New York, NY: Chelsea, 1987.

  • Bergman, Stefan. Kernel Functions and Elliptic Differential Equations in Mathematical Physics New York, NY: Academic Press, 1953.

Bleistein, Norman. Mathematical Methods for Wave Phenomena New York, NY: Academic Press, 1984.

    • Carrier, George F. and Pearson, Carl E. Partial Differential Equations: Theory and Technique, New York, NY: Academic Press, 1988. Second Edition.

Farlow, Stanley J. Partial Differential Equations for Scientists and Engineers New York, NY: John Wiley, 1982.

Friedman, Avner. Partial Differential Equations New York, NY: Holt, Rinehart and Winston, 1969.

    • Garabedian, Paul R. Partial Differential Equations, New York, NY: Chelsea, 1986. Second Edition.
  • Gustafson, Karl E. Introduction to Partial Differential Equations and Hilbert Space Methods, New York, NY: John Wiley, 1980, 1987. Second Edition.
  • Haberman, Richard. Elementary Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, Englewood Cliffs, NJ: Prentice Hall, 1983, 1987. Second Edition.

Hellwig, Gunter. Partial Differential Equations New York, NY: Blaisdell, 1964.

  • Hormander, Lars. The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis, New York, NY: Springer-Verlag, 1983, 1990. Second Edition.

John, Fritz. Partial Differential Equations, New York, NY: Springer-Verlag, 1971, 1982. Fourth Edition.

Littman, Walter, ed. Studies in Partial Differential Equations Washington, DC: Mathematical Association of America, 1982.

Pinsky, Mark A. Introduction to Partial Differential Equations with Applications, New York, NY: McGraw-Hill, 1984, 1991. Second Edition.

  • Protter, Murray H. and Weinberger, Hans F. Maximum Principles in Differential Equations Englewood Cliffs, NJ: Prentice Hall, 1967.

Smoller, J. Shock Waves and Reaction Diffusion Equations New York, NY: Springer-Verlag, 1983.

Tikhonov, Andrei N. Partial Differential Equations of Mathematical Physics San Francisco, CA: Holden-Day, 1967.

Treves, Fran cois. Basic Linear Partial Differential Equations New York, NY: Academic Press, 1975.

    • Weinberger, Hans F. A First Course in Partial Differential Equations with Complex Variables and Transform Methods Lexington, MA: Xerox College, 1965.
  • Whitham, G. Linear and Nonlinear Waves New York, NY: John Wiley, 1974.
    • Widder, David V. The Heat Equation New York, NY: Academic Press, 1975.

Williams, W.E. Partial Differential Equations New York, NY: Clarendon Press, 1980.

Zachmanoglou, E.C. and Thoe, Dale W. Introduction to Partial Differential Equations with Applications Mineola, NY: Dover, 1986.

  • Zauderer, Erich. Partial Differential Equations of Applied Mathematics, New York, NY: John Wiley, 1983, 1989. Second Edition.

Boundary Value Problems

      • Churchill, Ruel V. and Brown, James W. Fourier Series and Boundary Value Problems, New York, NY: McGraw-Hill, 1978. Third Edition.

Crank, John. Free and Moving Boundary Problems New York, NY: Clarendon Press, 1984.

Greenberg, Michael D. Application of Green's Functions in Science and Engineering Englewood Cliffs, NJ: Prentice Hall, 1971.

Hanna, J. Ray and Rowland, J.H. Fourier Series and Integrals of Boundary Value Problems, New York, NY: John Wiley, 1982, 1990. Second Edition.

  • Powers, David L. Boundary Value Problems, New York, NY: Academic Press, 1979, 1987. Third Edition.

Roach, G.F. Green's Functions, New York, NY: Cambridge University Press, 1982. Second Edition.

    • Stakgold, Ivar. Green's Functions and Boundary Value Problems New York, NY: John Wiley, 1979.


Special Topics

  • Gould, Sydney H. Variational Methods for Eigenvalue Problems: An Introduction to the Method Toronto: University of Toronto Press, 1957, 1966.

Hochstadt, Harry. Integral Equations New York, NY: John Wiley, 1973.

Ladde, G.S. Oscillation Theory of Differential Equations with Deviating Arguments New York, NY: Marcel Dekker, 1987.

Martin, Robert H., Jr. Nonlinear Operators and Differential Equations in Banach Spaces Melbourne, FL: Robert E. Krieger, 1987.

  • Mickens, Ronald E. An Introduction to Nonlinear Oscillations New York, NY: Cambridge University Press, 1981.

Miller, Richard K. Nonlinear Volterra Integral Equations Reading, MA: W.A. Benjamin, 1971.

Smith, Donald R. Singular-perturbation Theory: An Introduction with Applications New York, NY: Cambridge University Press, 1985.

Tikhonov, Andrei N. and Samarskii, A.A. Equations of Mathematical Physics Mineola, NY: Dover, 1990.

Titchmarsh, Edward C. Eigenfunction Expansions Associated with Second-Order Differential Equations New York, NY: Clarendon Press, 1962.

  • Tricomi, Francesco G. Integral Equations Mineola, NY: Dover, 1985.

Volterra, Vito. Theory of Functionals and of Integral and Integro-Differential Equations Mineola, NY: Dover, 1959.

  • Yosida, Kosaku. Lectures on Differential and Integral Equations New York, NY: Interscience, 1960.

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