# Exact controllability to trajectories for entropy solutions to scalar conservation laws in several space dimensions

## TL;DR

This paper introduces a new method for achieving exact controllability to trajectories in multidimensional scalar conservation laws, focusing on entropy solutions under minimal assumptions on flux and geometry.

## Contribution

The paper presents a novel approach for exact controllability in multidimensional conservation laws, expanding the theoretical framework for entropy solutions with minimal assumptions.

## Key findings

- Achieved exact controllability to trajectories for entropy solutions
- Developed a new method under non-degeneracy and geometric conditions
- Applicable to several space dimensions

## Abstract

We describe a new method which allows us to obtain a result of exact controllability to trajectories of multidimensional conservation laws in the context of entropy solutions and under a mere non-degeneracy assumption on the flux and a natural geometric condition.