J. L. Lions’ problem on maximal regularity. (English) Zbl 1377.35045
Summary: This is a survey on recent progress concerning maximal regularity of non-autonomous equations governed by time-dependent forms on a Hilbert space. It also contains two new results showing the limits of the theory.
MSC:
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 47A07 | Forms (bilinear, sesquilinear, multilinear) |
| 35K90 | Abstract parabolic equations |
| 35K20 | Initial-boundary value problems for second-order parabolic equations |
References:
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