The form of the solution of the Cauchy Problem over a group

R. Edwards

Displaying similar documents to “The form of the solution of the Cauchy Problem over a group”

Remarks on the algebraic derivative in the Operational calculus

J. Mikusiński (1960)

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Initial traces of solutions to a one-phase Stefan problem in an infinite strip.

Daniele Andreucci, Marianne K. Korten (1993)

Revista Matemática Iberoamericana

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The main result of this paper is an integral estimate valid for non-negative solutions (with no reference to initial data) u ∈ L¹ _loc (R_n x (0,T)) to (0.1) u_t - Δ(u - 1)₊ = 0, in D'(Rⁿ x (0,T)), for T > 0, n ≥ 1. Equation (0.1) is a formulation of a one-phase Stefan problem: in this connection...

An algebra associated with the generalized sublaplacian

Krzysztof Stempak (1988)

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L¹(a,b) with order convolution

L. Lardy (1966)

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Generalized convolutions

K. Urbanik (1964)

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Fourier transforms of vector-valued functions and measures

Igor Kluvánek (1970)

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Surjective convolution operators on spaces of distributions.

Leonhard Frerick, Jochen Wengenroth (2003)

RACSAM

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We review recent developments in the theory of inductive limits and use them to give a new and rather easy proof for Hörmander?s characterization of surjective convolution operators on spaces of Schwartz distributions.

On Deny's characterization of the potential kernel for a convolution Feller semi-group

John C. Taylor (1975)

Annales de l'institut Fourier

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The convolution kernels $V f = f * x$ on a homogeneous space $E = G / K$ , where $K$ is a compact sub-group of $G$ , that satisfy the complete maximum principle are characterized. Deny’s result for abelian groups $G$ , but with a stronger hypothesis, is a special case.

New Examples of Convolutions and Non-Commutative Central Limit Theorems

Marek Bożejko, Janusz Wysoczański (1998)

Banach Center Publications

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A family of transformations on the set of all probability measures on the real line is introduced, which makes it possible to define new examples of convolutions. The associated central limit theorems are studied, and examples of the limit measures, related to the classical, free and boolean convolutions, are shown.