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- W2170607178 abstract "We consider the Cauchy problem for an integrable modified two-component Camassa-Holm system with cubic nonlinearity. By using the Littlewood-Paley decomposition, nonhomogeneous Besov spaces, and a priori estimates for linear transport equation, we prove that the Cauchy problem is locally well-posed in Besov spaces <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:msubsup><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mo>, </mml:mo><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math> with <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mn>1</mml:mn><mml:mo>≤</mml:mo><mml:mi>p</mml:mi></mml:math>, <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mi>r</mml:mi><mml:mo>≤</mml:mo><mml:mo>+</mml:mo><mml:mi>∞</mml:mi></mml:math> and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mi>s</mml:mi><mml:mo>></mml:mo><mml:mrow><mml:mrow><mml:mi>max</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy=false>{</mml:mo><mml:mrow><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mo stretchy=false>(</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>p</mml:mi><mml:mo stretchy=false>)</mml:mo><mml:mo>,</mml:mo><mml:mn>5</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy=false>}</mml:mo></mml:mrow></mml:mrow></mml:mrow></mml:math>." @default.
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- W2170607178 date "2013-12-31" @default.
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- W2170607178 title "On the Local Well-Posedness of the Cauchy Problem for a Modified Two-Component Camassa-Holm System in Besov Spaces" @default.
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