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Original Articles

On an ILL-posed problem in nonlinear heat conduction

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Pages 173-186 | Received 31 Jul 1998, Accepted 12 Jul 1999, Published online: 20 Aug 2006

References

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  • Flavin , J. and Rionero , S. 1996 . Qualitative Estimates for Partial Differential Equations , Boca Raton : CRC Press .
  • Carslaw , H. S. and Jager , S. C. 1959 . Conduction of Heat in Solids , Second edition , Oxford : Clarendon Press .
  • Rionero , S. 1996 . Stability results for hyperbolic and parabolic equations . Proceedings of the II Int. Workshop on Nonlinear Kinetic Theory and Mathematical Aspects of Hyperbolic Systems (S.Remo, 26–30 Sept. 1994), Transport Theory and Statistical Physics , 25 ( 3–5 ) : 323 – 337 .
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  • Flavin , J. N. and Rionero , S. A Free Boundary Value Problem for a Nonlinear Heat Equation , to appear
  • Flavin , J. N. and Rionero , S. 1998 . Asymptotic and Other Properties of a Nonlinear Diffusion Model . Journal of Mathematical Analysis and Applications , 228 : 119 – 140 .

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