New life-span results for the nonlinear heat equation
S Tayachi, FB Weissler - Journal of Differential Equations, 2023 - Elsevier
We obtain new estimates for the existence time of the maximal solutions to the nonlinear
heat equation∂ tu− Δ u=| u| α u, α> 0 with initial values in Lebesgue, weighted Lebesgue …
heat equation∂ tu− Δ u=| u| α u, α> 0 with initial values in Lebesgue, weighted Lebesgue …
Unconditional uniqueness and non-uniqueness for Hardy–Hénon parabolic equations
We study the problems of uniqueness for Hardy–Hénon parabolic equations, which are
semilinear heat equations with the singular potential (Hardy type) or the increasing potential …
semilinear heat equations with the singular potential (Hardy type) or the increasing potential …
Weighted norm inequalities for convolution and Riesz potential
E Nursultanov, S Tikhonov - Potential Analysis, 2015 - Springer
Weighted Norm Inequalities for Convolution and Riesz Potential Page 1 Potential Anal (2015)
42:435–456 DOI 10.1007/s11118-014-9440-7 Weighted Norm Inequalities for Convolution and …
42:435–456 DOI 10.1007/s11118-014-9440-7 Weighted Norm Inequalities for Convolution and …
Elementary proofs of embedding theorems for potential spaces of radial functions
PL De Nápoli, I Drelichman - … of Fourier analysis and approximation theory, 2016 - Springer
Elementary Proofs of Embedding Theorems for Potential Spaces of Radial Functions |
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Regularity criteria with angular integrability for the Navier–Stokes equation
R Lucà - Nonlinear Analysis: Theory, Methods & Applications, 2014 - Elsevier
Regularity criteria with angular integrability for the Navier–Stokes equation - ScienceDirect
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Asymptotics and inversion of Riesz potentials through decomposition in radial and spherical parts
J Thim - Annali di Matematica Pura ed Applicata (1923-), 2016 - Springer
It is known that radial symmetry is preserved by the Riesz potential operators and also by the
hypersingular Riesz fractional derivatives typically used for inversion. In this paper, we …
hypersingular Riesz fractional derivatives typically used for inversion. In this paper, we …
Weighted embedding theorems for radial Besov and Triebel-Lizorkin spaces
We study the continuity and compactness of embeddings for radial Besov and Triebel-
Lizorkin spaces with weights in the Muckenhoupt class $ A_\infty $. The main tool is a …
Lizorkin spaces with weights in the Muckenhoupt class $ A_\infty $. The main tool is a …
Renormalization and a-priori bounds for Leray self-similar solutions to the generalized mild Navier-Stokes equations
D Gaidashev - arXiv preprint arXiv:2203.14648, 2022 - arxiv.org
We demonstrate that the problem of existence of Leray self-similar blow up solutions in a
generalized mild Navier-Stokes system with the fractional Laplacian $(-\Delta)^{\gamma/2} …
generalized mild Navier-Stokes system with the fractional Laplacian $(-\Delta)^{\gamma/2} …
Some problems in Fourier analysis and approximation theory
M Ruzhansky, S Tikhonov - … of Fourier Analysis and Approximation Theory, 2016 - Springer
Some Problems in Fourier Analysis and Approximation Theory | SpringerLink Skip to main
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