Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One sided H\"older regularity of global weak solutions of negative order
  dispersive equations   We prove global existence, uniqueness and stability of entropy solutions with
$L^2\cap L^\infty$ initial data for a general family of negative order
dispersive equations. It is further demonstrated that this solution concept
extends in a unique continuous manner to all $L^2$ initial data. These weak
solutions are found to satisfy one sided H\"older conditions whose coefficients
decay in time. The latter result controls the height of solutions and further
provides a way to bound the maximal lifespan of classical solutions from their
initial data.

9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics