Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solving two-point boundary value problems for a wave equation via the
  principle of stationary action and optimal control   A new approach to solving two-point boundary value problems for a wave
equation is developed. This new approach exploits the principle of stationary
action to reformulate and solve such problems in the framework of optimal
control. In particular, an infinite dimensional optimal control problem is
posed so that the wave equation dynamics and temporal boundary data of interest
are captured via the characteristics of the associated Hamiltonian and choice
of terminal payoff respectively. In order to solve this optimal control problem
for any such terminal payoff, and hence solve any two-point boundary value
problem corresponding to the boundary data encapsulated by that terminal
payoff, a fundamental solution to the optimal control problem is constructed.
Specifically, the optimal control problem corresponding to any given terminal
payoff can be solved via a max-plus convolution of this fundamental solution
with the specified terminal payoff. Crucially, the fundamental solution is
shown to be a quadratic functional that is defined with respect to the unique
solution of a set of operator differential equations, and computable using
spectral methods. An example is presented in which this fundamental solution is
computed and applied to solve a two-point boundary value problem for the wave
equation of interest.

12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th