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Applications to Partial Differential Equations

  • Ram P. Kanwal

Abstract

Recall from Chapter 2 that the differential operator L of order p in n independent variables x 1,x 2, …,x n ,is
$$ Lu = \sum\limits_{\left| k \right| \leqslant p} {a_k (x)D^k u,} $$
(1)
where the coefficients a k have partial derivatives of all orders. Its formal adjoint L* is defined as
$$ L*v = \sum\limits_{\left| k \right| \leqslant p} {( - 1)^k D^k (a_k v).} $$
(2)

Keywords

Partial Differential Equation Wave Equation Fundamental Solution Light Cone Inverse Fourier Transform 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Ram P. Kanwal
    • 1
  1. 1.Department of MathematicsThe Pennsylvania State UniversityUniversity ParkUSA

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