The Noncharacteristic Cauchy Problem for Parabolic Equations in Two Space Variables

David Colton
1973 Proceedings of the American Mathematical Society  
An integral representation is obtained for the solution of the noncharacteristic Cauchy problem for second order parabolic equations in two space variables with entire, time independent coefficients. This is accomplished through the use of contour integration techniques and the calculus of residues in the space of several complex variables.
doi:10.2307/2039132 fatcat:l6dii4zvifcolcszwkyxfbm4dy