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ON THE CAUCHY PROBLEM FOR QUASI-LINEAR HAMILTONIAN KDV-TYPE EQUATIONS
Felice Iandoli

ON THE CAUCHY PROBLEM FOR QUASI-LINEAR HAMILTONIAN KDV-TYPE EQUATIONS

Author / Organization:
Science & Mathematics Published 2022 Verification Pending

Overview & Synopsis

We prove local in time well-posedness for a class of quasilinear Hamiltonian KdV-type equations with periodic boundary conditions, more precisely we show existence, uniqueness and continuity of the solution map. We improve the previous result in [16], generalising the considered class of equations and improving the regularity assumption on the initial data.

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Document Information

Document Title ON THE CAUCHY PROBLEM FOR QUASI-LINEAR HAMILTONIAN KDV-TYPE EQUATIONS
Author / Organization Felice Iandoli
Subject & Discipline Multidisciplinary Academic Open Research
Categories Science & Mathematics
Publication Year 2022
License / Rights Open Access / Creative Commons
Resource Verification Listed PDF (Verification Pending)
Original Host Website HAL Open Science (hal.science)
File Format application/pdf (Portable Document Format)
Language EN
Catalog ID DOC-35336
Original Source Link Visit Source Page on hal.science »