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

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,Classes D’Interpolation Associées à un Opérateur Monotone ET Applications,omaine D(A), on introduit des classes d’interpolation intermédiaires entre D(A) et . qui généralisent les espaces usuels d’interpolation de la théorie linéaire (cf. les travaux de J.L. LIONS, J. PEETRE etc.). On établit l’équivalence de diverses formulations possibles.

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On Inverse Problems For k-Dimensional Potentials,sional manifold (the assumptions on F will be fixed later), ϕ a mass distribution on F, i.e., ϕ is a finite signed measure, defined, on σ-algebra of subsets of F which contains all Borel subsets of F. Then the k-dimensional potential . is a harmonic in ..−F.

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,Theorem of Frèchet and Asymptotically Almost Periodic Solutions of Some Nonlinear Equations of Hypeerm by an easy method based on a theorem of Fréchet. For the sake of simplicity, very restrictive assumptions on the coefficients of the equation are introduced. A more general situation is considered in paper [5], where the reader can find also the proofs of Lemmas 1–4, used in this lecture. The ex

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A New Type of Generalized Solution of the Dirichlet Problem for the Heat Equation, set U .. and a continuous function f on the boundary U* of U, we understand by the solution of the Dirichlet problem for f a continuous function F on the closure Ū of U which is harmonic in U and coincides with f on U*. A set U is termed . if there exists a solution of the Dirichlet problem, for an

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Diffusion Processes and their Connection to Partial Differential Equations of Parabolic Type,uations of parabolic type. The problem which is to be treated in the lecture originated in the theory of diffusion processes but can be reformulated and solved as a special problem from the theory of partial differential equations of parabolic type. For better understanding of both the problem and i

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Ivo Vrkočs, 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