Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The property of unique continuation for second order evolution PDEs   We present a simple and self-contained approach to establish the unique
continuation property for some classical evolution equations of second order in
a cylindrical domain. We namely discuss this property for wave, parabolic and
Sch\"odinger operators with time-independent principal part. Our method is
builds on two-parameter Carleman inequalities combined with unique continuation
across a pseudo-convex hypersurface with respect to the space variable. The
most results we demonstrate in this work are more or less classical. Some of
them are not stated exactly as in their original form.

37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
19
The categories of this paper are: eess
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex