Abstract
As we have seen in the previous chapters when we consider the Cauchy problem of a differential equation and uniqueness fails to hold (or it is not known to hold), then we have to consider a set of solutions corresponding to a given initial data.
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Zgurovsky, M.Z., Kasyanov, P.O., Kapustyan, O.V., Valero, J., Zadoianchuk, N.V. (2012). On the Kneser’s Property for the Complex Ginzburg–Landau Equation and the Lotka–Volterra System with Diffusion. In: Evolution Inclusions and Variation Inequalities for Earth Data Processing III. Advances in Mechanics and Mathematics, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28512-7_5
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