Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and Uniqueness of Global Weak solutions of the Camassa-Holm
  Equation with a Forcing   In this paper, we study the global well-posedness for the Camassa-Holm(C-H)
equation with a forcing in $H^1(\mathbb{R})$ by the characteristic method. Due
to the forcing, many important properties to study the well posedness of weak
solutions do not inherit from the C-H equation without a forcing, such as
conservation laws, integrability. By exploiting the balance law and some new
estimates, we prove the existence and uniqueness of global weak solutions for
the C-H equation with a forcing in $H^1(\mathbb{R})$.

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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys