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· arXiv 2506.00841

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math.AP 1

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2026 1

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Non-unique solutions to the periodic gKdV equation

math.AP · 2026-06-05 · unverdicted · novelty 6.0

Non-unique weak solutions to periodic k-gKdV are constructed via convex integration in low-regularity spaces with zero initial data, establishing that nonlinearity integrability is necessary for unconditional uniqueness.

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  • Non-unique solutions to the periodic gKdV equation math.AP · 2026-06-05 · unverdicted · none · ref 1

    Non-unique weak solutions to periodic k-gKdV are constructed via convex integration in low-regularity spaces with zero initial data, establishing that nonlinearity integrability is necessary for unconditional uniqueness.