Conclusion
We make some remarks in connection with the results of Secs. 6–10.
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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].
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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]).
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Sverdlovsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 28, No. 6, pp. 53–59, November–December, 1987.
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Ivanov, V.K. Conditions for well-posedness in the Hadamard sense in spaces of generalized functions. Sib Math J 28, 906–911 (1987). https://doi.org/10.1007/BF00969468
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DOI: https://doi.org/10.1007/BF00969468