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Approximate solutions in locally integrable structures. (English) Zbl 1003.35007
Galves, A. (ed.) et al., Differential equations and dynamical systems. Papers of the conference, Lisbon, Portugal, June 26-30, 2000. Providence, RI: American Mathematical Society (AMS). Fields Inst. Commun. 31, 97-112 (2002).
Summary: We deal with the concept of approximate solutions for integrable systems of vector fields. In particular we analyze the validity of the so-called similarity principle as well as the property of uniqueness in the Cauchy problem with datum on a maximally real submanifold.
For the entire collection see [Zbl 0988.00064].

MSC:
35A07 Local existence and uniqueness theorems (PDE) (MSC2000)
35N10 Overdetermined systems of PDEs with variable coefficients
35R45 Partial differential inequalities and systems of partial differential inequalities
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