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Determination of a source term in a linear parabolic partial differential equation. (English) Zbl 0323.35043


MSC:

35K20 Initial-boundary value problems for second-order parabolic equations
35B40 Asymptotic behavior of solutions to PDEs
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References:

[1] J. M. Anderson andK. G. Binmore,Coefficient Estimates for Lacunary Power Series and Dirichlet Series II, Proc. London Math. Soc.3, 49–68 (1963). · Zbl 0158.31501
[2] K. G. Binmore, A Trigonometric Inequality, J. London Math. Soc.41, 693–696 (1966). · Zbl 0148.04302
[3] J. R. Cannon,Error Estimates for Some Unstable Continuation Problems, J. of SIAM12, 270–284 (1964). · Zbl 0134.08501
[4] J. R. Cannon,A Priori Estimate for Continuation of the Solution of the Heat Equation in the Space Variable, Ann. Mat. Pura Appl. (IV), Vol. LXV, 377–388 (1964). · Zbl 0131.32202
[5] J. R. Cannon,A Cauchy Problem for the Heat Equation, Ann. Mat. Pura Appl. (IV), Vol. LXVI, 155–165 (1964). · Zbl 0168.36002
[6] J. R. Cannon andJ. Douglas, Jr,The Approximation of Harmonic and Parabolic Funnctions on Half-space from Interior Data, Centro Int. Matematico Estivo,Numerical Analysis of Partial Differential Equations (Ispra (Varese), Italy 1969), Ed. Cremonese Roma, 1969.
[7] J. R. Cannon,Determination of an Unknown Heat Source from Overspecified Boundary Data, SIAM J. Numer. Anal.5, 275–286 (1968). · Zbl 0176.15403
[8] J. R. Cannon andR. E. Ewing,A Direct Numerical Procedure for the Cauchy Problem for the Heat Equation, to appear J. Math. Anal. Appl. · Zbl 0339.65050
[9] P. R. Garabedian,Partial Differential Equations, John Wiley and Sons, Inc., New York, 1964, Chaps 10 and 11. · Zbl 0124.30501
[10] I. G. Petrovskii,Partial Differential Equations, W. B. Saunders Co. Philadelphia (1967).
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