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Applicable Analysis
An International Journal
Volume 77, 2001 - Issue 3-4
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Original Articles

Inversion formulas for the reznitskaya transform and stability of lipschitz type in determination of initial heat distribution

Determination of initial heat distribution

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Pages 343-350 | Received 01 Jun 2000, Published online: 02 May 2007

References

  • Byun , D.—W. and Saitoh , S. 1993 . A real inversion formula for the Laplace transform . Zeitschrift für Analysis und ihre Anwendungen , 12 : 597 – 603 .
  • Ho , L.F. 1986 . Observabilite frontière de l'équation des ondes . C. R. Acad, Sci. Paris, Sér, I Math , 302 : 443 – 446 .
  • Komornik , V. 1994 . Exact Control lability and Stabilisation — the multiplier method , Paris : Masson .
  • Lavrentiev , M.M. , Romanov , V.G. and Shishat-ski[icaron] , S.P. 1986 . “ III-posed Problems of Mathematical Physics and Analysis ” . In (English translation), American Mathematical Society , Rhode Island : Providence .
  • Lions , J.-L. 1988 . Contrôlabilité Exacie, Perturbations et Stabilisation de Systemes Disiribués , Vol. 1 , Paris : Masson .
  • Reznitskaya , K.G. 1974 . The connection between solutions of the Cauchy problem for equations of different types and inverse problems . Mat. Problemy Geofiz. Vyp , 5 ( 1 ) : 55 – 62 . (Russian) Zbl. 328 # 35072
  • Saitoh , S. 1997 . “ Integral Transforms, Reproducing Kernels and their Applications ” . In Pitman Research Notes in Mathematics Series , Vol. 369 , UK : Addison Wesley Longman Limited .
  • Saitoh , S. and Yamamoto , M. 1997 . Stability of Lipschitz type in determination of initial heat distribution . J. of Inequalities and Applications , 1 : 73 – 83 .

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