The Periodic Boundary Value Problem for the Weakly Dissipative<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>μ</mml:mi></mml:mrow></mml:math>-Hunter-Saxton Equation

Ouyang, Zhengyong; Wang, Xiangdong; Rong, Haibo

doi:10.1155/2015/743432

Advances in Mathematical Physics

2015

DOI: 10.1155/2015/743432

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The Periodic Boundary Value Problem for the Weakly Dissipativeμ-Hunter-Saxton Equation

Zhengyong Ouyang

Xiangdong Wang

Haibo Rong

Abstract: We study the periodic boundary value problem for the weakly dissipativeμ-Hunter-Saxton equation. We establish the local well-posedness in Besov spaceB2,13/2, which extends the previous regularity range to the critical case.

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The Periodic Boundary Value Problem for the Weakly Dissipativeμ-Hunter-Saxton Equation

Abstract: We study the periodic boundary value problem for the weakly dissipativeμ-Hunter-Saxton equation. We establish the local well-posedness in Besov spaceB2,13/2, which extends the previous regularity range to the critical case.

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References 38 publications

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