Chung, Jae-Young;Kim, Do-Han

  • Received : 2009.08.31
  • Published : 2011.03.31


We consider a general functional equation with time variable which arises when we investigate regularity problems of some general functional equations. As a result we prove the regularity of the initial values of the solutions. Also as an application we prove the regularity of solutions of some classical functional equations and their distributional versions.


unctional equation;convolution;generalized function;heat kernel


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