Regularity Theory and Adjoint-Based Optimality Conditions for a Nonlinear Transport Equation with Nonlocal Velocity

DOI10.1137/120873832zbMath1315.35225OpenAlexW2038858811MaRDI QIDQ2930952

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Publication date: 21 November 2014

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120873832

zbMATH Keywords

optimal control theory hyperbolic partial differential equation nonlinear transport equation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Smoothness and regularity of solutions to PDEs (35B65) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with control and optimization (35Q93) First-order hyperbolic equations (35L02)

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