Initial Data Identification in Conservation Laws and Hamilton-Jacobi Equations

Abstract : In the scalar 1D case, conservation laws and Hamilton-Jacobi equations are deeply related. For both, we characterize those profiles that can be attained as solutions at a given positive time corresponding to at least one initial datum. Then, for each of the two equations, we precisely identify all those initial data yielding a solution that coincide with a given profile at that positive time. Various topological and geometrical properties of the set of these initial data are then proved. 2000 Mathematics Subject Classification: 35L65, 35F21, 93B30, 35R30.
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https://hal.archives-ouvertes.fr/hal-02067783
Contributeur : Vincent Perrollaz <>
Soumis le : jeudi 14 mars 2019 - 13:24:21
Dernière modification le : samedi 16 mars 2019 - 02:08:09

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  • HAL Id : hal-02067783, version 1
  • ARXIV : 1903.06448

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Rinaldo Colombo, Vincent Perrollaz. Initial Data Identification in Conservation Laws and Hamilton-Jacobi Equations. 2019. 〈hal-02067783〉

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