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Hisao Fujita Yashima (NHSM, Algeria): New direction research for parabolic equations. Abstract: In this first part, we recall classical methods for the study of partial differential equations, such as the method of characteristics for solving the transport equation, the fundamental solution of the heat equation, the principle of maximum, the solutions in Sobolev spaces, the estimation of the Holder continuity, and the stochastic representation of the solution of a parabolic equation. We are goin
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