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Ill-posedness for the Cauchy problem of the Camassa-Holm equation in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msubsup><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mo>∞</mml:mo><mml:mo>,</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>

Yingying Guo, Weikui Ye, Zhaoyang Yin

2022Journal of Differential Equations19 citationsDOI

Topics & Concepts

MathematicsCamassa–Holm equationInitial value problemNorm (philosophy)Well-posed problemCauchy problemPure mathematicsApplied mathematicsMathematical analysisLawIntegrable systemPolitical scienceNonlinear Waves and SolitonsAdvanced Mathematical Physics ProblemsAlgebraic structures and combinatorial models
Ill-posedness for the Cauchy problem of the Camassa-Holm equation in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msubsup><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mo>∞</mml:mo><mml:mo>,</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> | Litcius