Initial data identification in conservation laws and Hamilton-Jacobi equations
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Publication:2181103
DOI10.1016/j.matpur.2020.03.005zbMath1439.35128arXiv1903.06448OpenAlexW3011733363MaRDI QIDQ2181103
Vincent Perrollaz, Rinaldo M. Colombo
Publication date: 18 May 2020
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.06448
System identification (93B30) Inverse problems for PDEs (35R30) Hyperbolic conservation laws (35L65) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)
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Differentiability With Respect to the Initial Condition for Hamilton--Jacobi Equations, Hyperbolic balance laws: modeling, analysis, and numerics. Abstracts from the workshop held February 28 -- March 6, 2021 (hybrid meeting), Analysis and Numerical Solvability of Backward-Forward Conservation Laws, Conservation laws and Hamilton-Jacobi equations with space inhomogeneity, Backward Reconstruction for Non Resonant Triangular Systems of Conservation Laws, The Inverse Problem for Hamilton--Jacobi Equations and Semiconcave Envelopes, Reachable set for Hamilton-Jacobi equations with non-smooth Hamiltonian and scalar conservation laws
Cites Work
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- SBV regularity for genuinely nonlinear, strictly hyperbolic systems of conservation laws in one space dimension
- On compactness estimates for hyperbolic systems of conservation laws
- Sharp decay estimates for hyperbolic balance laws
- A new proof of the SBV compactness theorem
- A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws
- Exact controllability of scalar conservation laws with strict convex flux
- Control of 2D scalar conservation laws in the presence of shocks
- Numerical aspects of large-time optimal control of Burgers equation
- Tracking Control of 1D Scalar Conservation Laws in the Presence of Shocks
- Hyperbolic systems of conservation laws II
- AN EXTENSION OF OLEINIK's INEQUALITY FOR GENERAL 1D SCALAR CONSERVATION LAWS
- AN ALTERNATING DESCENT METHOD FOR THE OPTIMAL CONTROL OF THE INVISCID BURGERS EQUATION IN THE PRESENCE OF SHOCKS
- Viscosity Solutions of Hamilton-Jacobi Equations
- On the controllability of the Burger equation
- On the Attainable Set for Scalar Nonlinear Conservation Laws with Boundary Control
- A NOTE ON ADMISSIBLE SOLUTIONS OF 1D SCALAR CONSERVATION LAWS AND 2D HAMILTON–JACOBI EQUATIONS
- Numerical Schemes for Conservation Laws via Hamilton-Jacobi Equations
- Filtered Gradient Algorithms for Inverse Design Problems of One-Dimensional Burgers Equation
- The partial differential equation ut + uux = μxx
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
- Hyperbolic Conservation Laws in Continuum Physics
- Quantitative compactness estimates for Hamilton-Jacobi equations