Titlebook: Nonlinear Evolution Equations and Potential Theory; Josef Král Book 1975 Academia, Publishing House of the Czechoslovak Academy of Science

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s, engineering, etc..Bridges the gap between aspects from puFractional calculus was first developed by pure mathematicians in the middle of the 19th century. Some 100 years later, engineers and physicists have found applications for these concepts in their areas. However there has traditionally been

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,Theorem of Frèchet and Asymptotically Almost Periodic Solutions of Some Nonlinear Equations of Hypeence of bounded solutions plays here the crucial role. It is very well known that their existence may be derived from local existence of solutions and from appropriate apriori estimates. The local existence of solutions will be supposed here, since this problem is treated in many other papers.

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Diffusion Processes and their Connection to Partial Differential Equations of Parabolic Type,tions between the two theories. For this reason the first part of the lecture is devoted to this matter. However, the necessary definitions and statements can be mentioned only very briefly and apart from its historical background.

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