On the convergence of solutions of some evolution differential equations. (English) Zbl 0838.35010
I present two conjectures concerning the convergence of the solutions of two types of differential equations that seem to me interesting both from the theoretical point of view and from the applied point of view and whose study could shed light on new aspects that link the problems of classic calculus of variations and the theory of differential equations on the one hand, with more abstract theories of an algebraic-topological character on the other hand.
MSC:
| 35B27 | Homogenization in context of PDEs; PDEs in media with periodic structure |
| 35K15 | Initial value problems for second-order parabolic equations |
| 35B30 | Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs |
| 35F10 | Initial value problems for linear first-order PDEs |
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