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#1 2009-04-28 13:11:24

sam1
Member
Registered: 2009-04-28
Posts: 1

pde problems

1. known that heat kernel is

find explicitly the solution to the Cauchy Problem

probably this is useful:

2. let

and consider the cylinder

Prove that given a function
, where
if the problem

admits a solution f(x,t), the following equation is neccessary:

for some functions

Last edited by sam1 (2009-04-28 13:18:35)

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