A Bellman approach for two-domains optimal control problems in $\R^N$

T is the address of the current subterm (which is not closed, in general) : it is, therefore, an instruction pointer which runs along the term to be performed ; E is the

In this work, we provide rather complete answers to these questions in the case of a simple geometry, namely when we only consider two different domains which are half spaces:

We prove a theorem concerning the quotient structure that parallels the gener- alized dual girth conjecture proved in [1] and the Holmes–Thompson dual volumes theorem [6], which in

Our goal is, on one hand, to write down explicit first and second order optimality conditions for general 2-dimensional shape optimization problems with convexity con- straint and,

The method of proof involves the generalization of previous works on supercritical NLS and gKdV equations by Martel, Merle and the first author [3] to the wave case, where we

The common point to Kostant’s and Steinberg’s formulae is the function count- ing the number of decompositions of a root lattice element as a linear combination with

In this section we prove that the disk D is a critical shape in the class of constant width sets (see Propositions 3.2 and 3.5) and we determine the sign of the second order

In this case, the laser pump excites the titanium film and, through a thermoelastic process, leads to the generation of picosecond acoustic pulses that propagate within the copper