A weighted $L_p$-regularity theory for parabolic partial differential equations with time-measurable pseudo-differential operators (Q6081617)

scientific article; zbMATH DE number 7755358

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English	A weighted $L_p$-regularity theory for parabolic partial differential equations with time-measurable pseudo-differential operators	scientific article; zbMATH DE number 7755358

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title

A weighted $L_p$-regularity theory for parabolic partial differential equations with time-measurable pseudo-differential operators (English)

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Journal of Pseudo-Differential Operators and Applications

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publication date

26 October 2023

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full work available at URL

https://arxiv.org/abs/2205.12463

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zbMATH Keywords

pseudo-differential operator

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Muckenhoupt weight

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Cauchy problem

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MaRDI publication profile

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cites work

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$L^p$-maximal hypoelliptic regularity of nonlocal kinetic Fokker-Planck operators

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Boundedness of non-local operators with spatially dependent coefficients and $L_p$-estimates for non-local equations

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Sobolev estimates for fractional parabolic equations with space-time non-local operators

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Weighted estimates for operator-valued Fourier multipliers

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Maximal regularity for non-autonomous equations with measurable dependence on time

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Classical Fourier Analysis

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On $L_p$-solvability of stochastic integro-differential equations

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Weighted $L_q(L_{p})$-estimate with Muckenhoupt weights for the diffusion-wave equations with time-fractional derivatives

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A regularity theory for stochastic partial differential equations driven by multiplicative space-time white noise with the random fractional Laplacians

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Parabolic Littlewood-Paley inequality for $\phi(-{\Delta})$-type operators and applications to stochastic integro-differential equations

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Parabolic BMO estimates for pseudo-differential operators of arbitrary order

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An $L_p$-theory for a class of non-local elliptic equations related to nonsymmetric measurable kernels

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An $L_p$-theory for stochastic partial differential equations driven by Lévy processes with pseudo-differential operators of arbitrary order

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An $L_q(L_p)$-theory for parabolic pseudo-differential equations: Calderón-Zygmund approach

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An $L_p$-Lipschitz theory for parabolic equations with time measurable pseudo-differential operators

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An 𝐿_{𝑝}-theory for diffusion equations related to stochastic processes with non-stationary independent increment

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An $L_p$-theory of a class of stochastic equations with the random fractional Laplacian driven by Lévy processes

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An $L_q (L_p)$-theory for diffusion equations with space-time nonlocal operators

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A Sobolev space theory for the stochastic partial differential equations with space-time non-local operators

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Results on Weighted Norm Inequalities for Multipliers

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On the Cauchy problem for certain integro-differential operators in Sobolev and Hölder spaces

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On the Cauchy problem for integro-differential operators in Sobolev classes and the martingale problem

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On $L^p$-theory for parabolic and elliptic integro-differential equations with scalable operators in the whole space

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On the Cauchy problem for integro-differential equations in the scale of spaces of generalized smoothness

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Weighted Sobolev Spaces and Pseudodifferential Operators with Smooth Symbols

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Stochastic maximal $L^{p}$-regularity

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Maximal $L^p$-Regularity for Stochastic Evolution Equations

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Maximal $\gamma$-regularity

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Weighted maximal $L_q (L_p)$-regularity theory for time-fractional diffusion-wave equations with variable coefficients

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Stochastic maximal regularity for rough time-dependent problems

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Q4340161

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Pseudo-differential operators and Markov processes

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$L^p$-maximal regularity of nonlocal parabolic equations and applications

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<i>L<sup>p</sup></i>-Solvability of Nonlocal Parabolic Equations with Spatial Dependent and Non-smooth Kernels

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Identifiers

zbMATH Open document ID

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10.1007/s11868-023-00550-6

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6081617

A weighted \(L_p\)-regularity theory for parabolic partial differential equations with time-measurable pseudo-differential operators (Q6081617)

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Mathematics(1 entry)