Gedif, Tsegaye (PhD)Girmay, Berihu2018-07-122023-11-042018-07-122023-11-042014-08http://etd.aau.edu.et/handle/123456789/8191In this report, we discuss about distributions and show how to and fun- damental solutions of linear dierential operators with constant coecients with the help of Fourier transform. Then and the fundamental solution of heat conducting operators and state the properties of this operator. Using these we state and solve the Cauchy problem for heat conducting op- eratoenFundamental Solutions and CauchyThesis