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Operators and Systems in the Plane

  • Serge AlinhacEmail author
Chapter
Part of the Universitext book series (UTX)

We will work in the plane R2 with coordinates (x, t). Definition 2.1. A differential operator P of order m ∈ N is defined by
$$(Pu)(x,t) = \Sigma _{k + l \leq m} a_{kl} (x,t)\partial _x^k \partial _t^l u(x,t).$$
Here, the coefficients a kl are C , given functions (to simplify).

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Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.Le Département de MathématiquesUniversité Paris-Sud XIOrsayFrance

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