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Siberian Mathematical Journal

, Volume 28, Issue 6, pp 906–911 | Cite as

Conditions for well-posedness in the Hadamard sense in spaces of generalized functions

  • V. K. Ivanov
Article

Conclusion

We make some remarks in connection with the results of Secs. 6–10.
  1. 1.

    We have used expansions into orthogonal series. In the general case it is natural to use spectral expansions of linear selfadjoint operators. For this one may use the results of [13, 14].

     
  2. 2.

    Can the concept of weak well-posedness be carried over to nonlinear problems? Here, probably, J. F. Colombeau's method will turn out to be useful (see [13, 14]).

     

Keywords

Generalize Function Nonlinear Problem Selfadjoint Operator Orthogonal Series Spectral Expansion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Plenum Publishing Corporation 1988

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  • V. K. Ivanov

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