Periodic solutions of singular linear and semilinear parabolic problems
Authors:
C. Y. Chan and Benedict M. Wong
Journal:
Quart. Appl. Math. 47 (1989), 405-428
MSC:
Primary 35K20; Secondary 35B10, 35K55
DOI:
https://doi.org/10.1090/qam/1012266
MathSciNet review:
MR1012266
Full-text PDF Free Access
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Additional Information
- Milton Abramowitz and Irene A. Stegun (eds.), Handbook of mathematical functions with formulas, graphs, and mathematical tables, A Wiley-Interscience Publication, John Wiley & Sons, Inc., New York; John Wiley & Sons, Inc., New York, 1984. Reprint of the 1972 edition; Selected Government Publications. MR 757537
- Soo Bong Chae, Lebesgue integration, Monographs and Textbooks in Pure and Applied Mathematics, vol. 58, Marcel Dekker, Inc., New York, 1980. MR 589544
- C. Y. Chan, Temperatures of linearly and nonlinearly radiating semi-infinite rods, Quart. Appl. Math. 34 (1976/77), no. 2, 173–181. MR 484041, DOI https://doi.org/10.1090/S0033-569X-1976-0484041-3
- C. Y. Chan and C. S. Chen, A numerical method for semilinear singular parabolic quenching problems, Quart. Appl. Math. 47 (1989), no. 1, 45–57. MR 987894, DOI https://doi.org/10.1090/S0033-569X-1989-0987894-4
- C. Y. Chan and Benedict M. Wong, Periodic solutions of parabolic problems, Differential equations and applications, Vol. I, II (Columbus, OH, 1988) Ohio Univ. Press, Athens, OH, 1989, pp. 142–148. MR 1026127
- Bao Ping Liu and C. V. Pao, Periodic solutions of coupled semilinear parabolic boundary value problems, Nonlinear Anal. 6 (1982), no. 3, 237–252. MR 654316, DOI https://doi.org/10.1016/0362-546X%2882%2990092-X
N. W. McLachlan, Bessel Functions for Engineers, 2nd ed., Oxford at the Clarendon Press, London, 1955, pp. 26, 102–104, 116, 192
- Murray H. Protter and Hans F. Weinberger, Maximum principles in differential equations, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1967. MR 0219861
- H. L. Royden, Real analysis, The Macmillan Co., New York; Collier-Macmillan Ltd., London, 1963. MR 0151555
- G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746
H. F. Weinberger, A First Course in Partial Differential Equations, Xerox College Publishing, Lexington, 1965, p. 73
- A. H. Zemanian, Distribution theory and transform analysis. An introduction to generalized functions, with applications, McGraw-Hill Book Co., New York-Toronto-London-Sydney, 1965. MR 0177293
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series 55, Washington, 1972, pp. 362, 364
S. B. Chae, Lebesgue Integration, Marcel Dekker, New York, 1980, pp. 216–217, 227–228
C. Y. Chan, Temperatures of linearly and nonlinearly radiating semi-infinite rods, Quart. Appl. Math. 34, 173–182 (1976)
C. Y. Chan and C. S. Chen, A numerical method for semilinear singular parabolic quenching problems, Quart. Appl. Math. 47, 45–57 (1989)
C. Y. Chan and B. M. Wong, Periodic solutions of parabolic problems, to appear in Differential Equations and Applications
B. P. Liu and C. V. Pao, Periodic solutions of coupled semilinear parabolic boundary value problems, Nonlinear Anal. 6, 237–252 (1982)
N. W. McLachlan, Bessel Functions for Engineers, 2nd ed., Oxford at the Clarendon Press, London, 1955, pp. 26, 102–104, 116, 192
M. H. Protter and H. F. Weinberger, Maximum Principles in Differential Equations, Prentice-Hall, New Jersey, 1967, pp. 170, 172
H. L. Royden, Real Analysis, 2nd ed., Macmillan, New York, 1968, pp. 84, 88, 269
G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed., Macmillan, New York, 1944, pp. 490–492, 506, 593
H. F. Weinberger, A First Course in Partial Differential Equations, Xerox College Publishing, Lexington, 1965, p. 73
A. H. Zemanian, Distribution Theory and Transform Analysis, McGraw-Hill, New York, 1965, pp. 316–322, 333
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Article copyright:
© Copyright 1989
American Mathematical Society