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Applicable Analysis
An International Journal
Volume 2, 1972 - Issue 1
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Original Articles

New proofs and generalisations of theorems of existence and uniqueness for the goursat problem

Pages 61-78 | Published online: 10 May 2007

References

  • Hormander , L. 1963 . Linear Partial Differential Operators , Springer .
  • Du Chateau , P. and Treves , F. 1970 . An Abstract Cauchy—Kovalevska Theorem in Gevrey Classes , Proc. Symp. on Evol. Eq. Rome .
  • Steinberg , S. and Treves , F. 1970 . Pseudo-Fokker-Planck Equations and Hyper-differential Operators . Purdue Univ, Tech. Report ,
  • Treves , F. 1968 . Ovcyannikov Theorem and Hyperdifferential Operators . Inst. de Mat, Pura e AppL Rio de ,
  • Treves , F. 1968 . An Abstract Non-linear Cauchy-Kovalevska Theorem . in Trans. A.M.S ,
  • Treves , F. Banach Filtrations and a New Proof of the Ovcyannikov Theorem, to appear
  • Persson , J. 1968 . Exponential Majorization Applied to a Non-linear Cauchy Problem for Functions of a Gevrey Nature . Ann, di Mat. Pur, AppL , 78 : 259 – 267 .
  • Persson , J. 1968 . New Proofs and Generalizations of Two Theorems bv Lednev for Goursat Problems . Math. Ann , 178 : 184 – 208 .
  • Friedman , A. 1961 . A New Proof and Generalizations of the Cauchy-Kowalewski Theorem . Trans. A.M.S , 98 : 1 – 20 .

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