Add to ORKGWe introduce general translations as solutions to Cauchy or Dirichlet problems. This point of view allows us to handle the heat-diffusion semigroup as a translation. With the given examples Kolmogorov-Riesz characterization of compact sets in certain $L^p_\mu$ spaces are given. Pego-type characterizations are also derived. Finally for some examples the equivalence of the corresponding modulus of smoothness and K-functional is pointed out.Comment: 23 page
We consider the heat equation defined by a generalized measure theoretic Laplacian on [0, 1]. This e...
In a recent book, the authors of this paper have studied the classical heat and Laplace equations w...
We study dispersive mixed-order systems of pseudodifferential operators in the setting of Lp-Sobolev...
We show maximal regularity results concerning parabolic systems with dynamic boundary conditions and...
The heat semigroup on discrete hypercubes is well-known to be contractive over $L_p$-spaces for $1<p...
The results of this thesis are motivated by the investigation of abstract Cauchy problems. Our prima...
Abstract. W.Choi([1]) obtains a complete description of ergodic prop-erty and several property by ma...
We study transition semigroups and Kolmogorov equations corresponding to stochastic semilinear equat...
SIGLECopy held by FIZ Karlsruhe; available from UB/TIB Hannover / FIZ - Fachinformationszzentrum Kar...
It is now well known that curvature conditions {\it á la} Bakry-Émery are equivalent to contraction ...
AbstractTo prove global existence of classical or mild solutions of reaction-diffusion equations, a ...
AbstractWe will use the heat semi-group to regularize functions and vector fields on Riemannian mani...
Minor typos corrected and many small improvements added. Lemma 2.4, Lemma 2.10, Prop. 5.7, Rem. 5.8,...
Let X be a space of homogeneous type. Assume that an operator L has a bounded holomorphic functional...
AbstractWe study transition semigroups and Kolmogorov equations corresponding to stochastic semiline...
We consider the heat equation defined by a generalized measure theoretic Laplacian on [0, 1]. This e...
In a recent book, the authors of this paper have studied the classical heat and Laplace equations w...
We study dispersive mixed-order systems of pseudodifferential operators in the setting of Lp-Sobolev...
We show maximal regularity results concerning parabolic systems with dynamic boundary conditions and...
The heat semigroup on discrete hypercubes is well-known to be contractive over $L_p$-spaces for $1<p...
The results of this thesis are motivated by the investigation of abstract Cauchy problems. Our prima...
Abstract. W.Choi([1]) obtains a complete description of ergodic prop-erty and several property by ma...
We study transition semigroups and Kolmogorov equations corresponding to stochastic semilinear equat...
SIGLECopy held by FIZ Karlsruhe; available from UB/TIB Hannover / FIZ - Fachinformationszzentrum Kar...
It is now well known that curvature conditions {\it á la} Bakry-Émery are equivalent to contraction ...
AbstractTo prove global existence of classical or mild solutions of reaction-diffusion equations, a ...
AbstractWe will use the heat semi-group to regularize functions and vector fields on Riemannian mani...
Minor typos corrected and many small improvements added. Lemma 2.4, Lemma 2.10, Prop. 5.7, Rem. 5.8,...
Let X be a space of homogeneous type. Assume that an operator L has a bounded holomorphic functional...
AbstractWe study transition semigroups and Kolmogorov equations corresponding to stochastic semiline...
We consider the heat equation defined by a generalized measure theoretic Laplacian on [0, 1]. This e...
In a recent book, the authors of this paper have studied the classical heat and Laplace equations w...
We study dispersive mixed-order systems of pseudodifferential operators in the setting of Lp-Sobolev...