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Local C 1 solutions to some non‐linear PDE system
Author(s) -
Callegari Emanuele,
Ghisi Marina
Publication year - 2006
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.714
Subject(s) - mathematics , diagonalizable matrix , initial value problem , value (mathematics) , pure mathematics , mathematical analysis , eigenvalues and eigenvectors , combinatorics , statistics , symmetric matrix , physics , quantum mechanics
We prove that the quasilinear initial value problemhas a unique, local in time, C 1 solution, if the matrices A i are diagonalizable and commute with each other. Copyright © 2006 John Wiley & Sons, Ltd.
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