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The Noncharacteristic Cauchy Problem for Parabolic Equations in Two Space Variables
1973
Proceedings of the American Mathematical Society
Preserved Fulltext
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