Paz Hashash

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math.AP2025

The refined area formula for Sobolev mappings $W^{k, p}$

Paz Hashash

We establish the area formula for change-of-variable mappings in the Sobolev space $W_{loc}^{k, p}$ . Our approach relies on constructing Lipschitz approximations of Sobolev f…

math.AP2025

$L^{1}$ -Contraction Property of Entropy Solutions for Scalar Conservation Laws with Minimal Regularity Assumptions on the Flux

Paz Hashash

This paper is concerned with entropy solutions of scalar conservation laws of the form $\partial_{t}u+\diver f=0$ in $R^{d} \times (0, \infty)$ . The flux $f = f (x, u)$ depends exp…

The refined area formula for Sobolev mappings Wk,p

L1-Contraction Property of Entropy Solutions for Scalar Conservation Laws with Minimal Regularity Assumptions on the Flux

The refined area formula for Sobolev mappings $W^{k, p}$

$L^{1}$ -Contraction Property of Entropy Solutions for Scalar Conservation Laws with Minimal Regularity Assumptions on the Flux