The Cauchy- Problem With The Heat Equation

This report attempts to study solution of explicit linear PDE of second order, the heat equationrnu k u f trnWith certain symmetry condition on the solution u .In this regard, some sort of scaling of variables isrnintroduced and pertinent scaling transformation T that leaves the ratiorntrnxrn2rnunchanged is shown tornusher to a solution of the form:rntrnxrnu x t vrn2rn,rnWhich is radial and hence a symmetric function.

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