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Lions' Maximal Regularity Problem at the Half-Holder Endpoint

Tensorisation and parabolic rescaling carry the one-dimensional example to real symmetric isotropic counterexamples on R^d and on every bounded domain, in every dimension.

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differential-equationsAug 11, 2026Significance 25/100Registry: unreviewed

Lions' Maximal Regularity Problem at the Half-Holder Endpoint

Prior state unknown→disproved

Tensorisation and parabolic rescaling carry the one-dimensional example to real symmetric isotropic counterexamples on R^d and on every bounded domain, in every dimension.

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Tensorisation and parabolic rescaling carry the one-dimensional example to real symmetric isotropic counterexamples on R^d and on every bounded domain, in every dimension.

Tensorisation and parabolic rescaling carry the one-dimensional example to real symmetric isotropic counterexamples on R^d and on every bounded domain, in every dimension.

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