Publication Cover
Applicable Analysis
An International Journal
Volume 19, 1985 - Issue 2-3
22
Views
27
CrossRef citations to date
0
Altmetric
Original Articles

Improved Stability Estimates for Classes of Illposed Cauchy Problems

Pages 63-74 | Published online: 02 May 2007

References

  • Bell , J.B. 1981 . The noncharacteristic Cauchy problem for a class of equations with time dependence. I. Problems in one space dimension . SIAM J. Math. Anal. , 12 : 759 – 777 .
  • Bell , J.B. 1981 . The noncharacteristic Cauchy problem for a class of equations with time dependence. II. Multidimensional problems . SIAM J. Math. Anal. , 12 : 778 – 797 .
  • Cannon , J.R. and Douglas , J. Jr. 1966 . The Cauchy problem for the heat equation . SIAM J. Num. Anal. , 3 : 451 – 466 .
  • Ewing , R.E. and Falk , R.S. 1979 . Numerical approximation of a Cauchy problem for a parabolic partial differential equation . Math. Comp. , 33 : 1125 – 1144 .
  • Ewing , R.E. 1963 . On the Cauchy problem for the one-dimensional heat equation . Math. Comp. , 17 : 257 – 269 .
  • Knops , R.J. and Payne , L.E. 1971 . Uniqueness theorems in linear elasticity . Springer Tracts in Nat. Phil , 19
  • Lavrentiev , M.M. , Romanov , V.G. and Sisatskij , S.P. 1980 . Nekovektnye zadachi matematicheskoi fisiki i analisa . Akad Nauk SSSR Moscow , 19
  • Murray , A. 1972 . Uniqueness and continuous dependence for the equations of elastodynamics without strain energy function . Arch. Rat. Mech. Anal. , 47 : 195 – 204 .
  • Payne , L.E. Improperly Posed Problems in Partial Differential Equations .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.