On half-space solutions of a modified heat equation
Author:
D. E. Amos
Journal:
Quart. Appl. Math. 27 (1969), 359-369
MSC:
Primary 35.14
DOI:
https://doi.org/10.1090/qam/255962
MathSciNet review:
255962
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Additional Information
G. I. Barenblatt, Iu. P. Zheltov and I. N. Kochina, Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [Strata], PPM 24, 1286β1303 (1960) (Translation of Prikl. Mat. i Meh.)
P. J. Chen and M. E. Gurtin, On a theory of heat conduction involving two temperatures, Z. Angew. Math. Phys. 19, 614β627 (1968)
- Bernard D. Coleman, Richard J. Duffin, and Victor J. Mizel, Instability, uniqueness and nonexistence theorems for the equation $u_{t}=u_{xx}-u_{xtx}$ on a strip, Arch. Rational Mech. Anal. 19 (1965), 100β116. MR 177215, DOI https://doi.org/10.1007/BF00282277
- Bernard D. Coleman and Walter Noll, An approximation theorem for functionals, with applications in continuum mechanics, Arch. Rational Mech. Anal. 6 (1960), 355β370 (1960). MR 119598, DOI https://doi.org/10.1007/BF00276168
A. ErdΓ©lyi et al., Tables of integral transforms. Vol. 1, Bateman Manuscript Project, McGraw-Hill, New York, 1954
- Walter Gautschi, Computational aspects of three-term recurrence relations, SIAM Rev. 9 (1967), 24β82. MR 213062, DOI https://doi.org/10.1137/1009002
- Richard R. Goldberg, Fourier transforms, Cambridge Tracts in Mathematics and Mathematical Physics, No. 52, Cambridge University Press, New York, 1961. MR 0120501
- Morton E. Gurtin and William O. Williams, An axiomatic foundation for continuum thermodynamics, Arch. Rational Mech. Anal. 26 (1967), 83β117. MR 214335, DOI https://doi.org/10.1007/BF00285676
M. E. Gurtin and W. O. Williams, On the Clausius-Duhem inequality, Z. Angew. Math. Phys. 17, 626β633 (1966)
- Robert D. Richtmyer and K. W. Morton, Difference methods for initial-value problems, 2nd ed., Interscience Tracts in Pure and Applied Mathematics, No. 4, Interscience Publishers John Wiley & Sons, Inc., New York-London-Sydney, 1967. MR 0220455
- E. C. Titchmarsh, The theory of functions, Oxford University Press, Oxford, 1958. Reprint of the second (1939) edition. MR 3155290
G. I. Barenblatt, Iu. P. Zheltov and I. N. Kochina, Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [Strata], PPM 24, 1286β1303 (1960) (Translation of Prikl. Mat. i Meh.)
P. J. Chen and M. E. Gurtin, On a theory of heat conduction involving two temperatures, Z. Angew. Math. Phys. 19, 614β627 (1968)
B. D. Coleman, R. J. Duggin and V. J. Mizel, Instability, uniqueness, and non-existence theorems for the equation u$_{t}$ = u$_{xx}$ β u$_{xtx}$ on a strip, Arch. Rational Meeh. Anal. 19, 100β116 (1965)
B. D. Coleman and W. Noll, An approximation theorem for functionals with applications in continuum mechanics, Arch. Rational Mech. Anal. 6, 355β370 (1960)
A. ErdΓ©lyi et al., Tables of integral transforms. Vol. 1, Bateman Manuscript Project, McGraw-Hill, New York, 1954
W. Gautschi, Computational aspects of three-term recurrence relations, SIAM Rev. 9, No. 1, 24β83 (1967)
R. R. Goldberg, Fourier transforms, Cambridge Univ. Press, New York, 1962
M. E. Gurtin and W. O. Williams, An axiomatic foundation for continuum thermodynamics, Arch. Rational Mech. Anal. 26, 83β117 (1967)
M. E. Gurtin and W. O. Williams, On the Clausius-Duhem inequality, Z. Angew. Math. Phys. 17, 626β633 (1966)
R. D. Richtmyer and K. W. Morton, Difference methods for initial-value problems, 2nd Ed., Inter-science, New York, 1967
E. C. Titchmarsh, Theory of functions, 2nd Ed., Oxford Univ. Press, London, 1939
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Article copyright:
© Copyright 1969
American Mathematical Society
