Alberto Bressan

collaborators

3 papers

math.AP2025

Uniqueness Domains for $L^{\infty}$ Solutions of $2 \times 2$ Hyperbolic Conservation Laws

Alberto Bressan, Elio Marconi, Ganesh Vaidya

For a genuinely nonlinear $2 \times 2$ hyperbolic system of conservation laws, assuming that the initial data have small $L^{\infty}$ norm but possibly unbounded total variation…

math.OC2025

Generic uniqueness and conjugate points for optimal control problems

Alberto Bressan, Marco Mazzola, Khai T. Nguyen

The paper is concerned with an optimal control problem on $R^{n}$ , where the dynamics is linear w.r.t.~the control functions. For a terminal cost $ψ$ in a $ma t h c a l G_{δ}$ set…

math.AP2024

Conservation Laws with Discontinuous Gradient-Dependent Flux: the Stable Case

Debora Amadori, Alberto Bressan, Wen Shen

The paper is concerned with a scalar conservation law with discontinuous gradient-dependent flux. Namely, the flux is described by two different functions $f (u)$ or $g (u)$ , when th…

Uniqueness Domains for L∞ Solutions of 2×2 Hyperbolic Conservation Laws

Generic uniqueness and conjugate points for optimal control problems

Conservation Laws with Discontinuous Gradient-Dependent Flux: the Stable Case

Uniqueness Domains for $L^{\infty}$ Solutions of $2 \times 2$ Hyperbolic Conservation Laws