Differentiability With Respect to the Initial Condition for Hamilton--Jacobi Equations
DOI10.1137/22M1469353zbMath1498.35168arXiv2110.11845OpenAlexW3209583418WikidataQ114073937 ScholiaQ114073937MaRDI QIDQ5038512
Carlos Esteve-Yagüe, Enrique Zuazua
Publication date: 7 October 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.11845
Hamilton-Jacobi equationGâteaux derivativesinverse design problemsdifferentiability of the forward viscosity semigroup
Optimality conditions for problems involving partial differential equations (49K20) Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Initial value problems for nonlinear first-order PDEs (35F25) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) Transport equations (35Q49)
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