A Livšic Theorem for Matrix Cocycles Over Non-uniformly Hyperbolic Systems
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-018-9691-x
Abstract: We prove a Livšic-type theorem for Hölder continuous and matrix-valued cocycles over non-uniformly hyperbolic systems. More precisely, we prove that whenever $$(f,\mu )$$(f,μ) is a non-uniformly hyperbolic system and $$A:M \rightarrow GL(d,\mathbb {R}) $$A:M→GL(d,R) is… read more here.
Keywords: hyperbolic systems; matrix; uniformly hyperbolic; lder continuous ... See more keywords
Logarithmic Hölder continuous mappings and Beltrami equation
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DOI: 10.1007/s13324-021-00573-6
Abstract: The paper is devoted to the study of mappings satisfying the inverse inequality of Poletsky type. Here we have studied the case when the majorant in this inequality is integrable on some set of spheres… read more here.
Keywords: logarithmic lder; continuous mappings; equation; lder continuous ... See more keywords
Obstacle problems for parabolic SDEs with Hölder continuous diffusion: From weak to strong solutions
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.01.044
Abstract: Abstract The article focuses on the qualitative analysis of the following stochastic variational inequality d u ( t ) + A ( t , u ( t ) ) d t + ∂ I K… read more here.
Keywords: diffusion; parabolic sdes; problems parabolic; lder continuous ... See more keywords
Well-posedness of Third Order Differential Equations in Hölder Continuous Function Spaces
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DOI: 10.4153/s0008439518000048
Abstract: Abstract In this paper, by using operator-valued ${\dot{C}}^{\unicode[STIX]{x1D6FC}}$ -Fourier multiplier results on vector-valued Hölder continuous function spaces, we give a characterization of the $C^{\unicode[STIX]{x1D6FC}}$ -well-posedness for the third order differential equations $au^{\prime \prime \prime }(t)+u^{\prime… read more here.
Keywords: continuous function; function spaces; lder continuous; prime prime ... See more keywords