Applications to Partial Differential Equations

  • Ram P. Kanwal


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


Partial Differential Equation Wave Equation Fundamental Solution Light Cone Inverse Fourier Transform 
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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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