Quantum Differentiability on Noncommutative Euclidean Spaces
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DOI: 10.1007/s00220-019-03605-2
Abstract: We study the topic of quantum differentiability on quantum Euclidean $d$-dimensional spaces (otherwise known as Moyal $d$-spaces), and we find conditions that are necessary and sufficient for the singular values of the quantised differential to… read more here.
Keywords: euclidean spaces; noncommutative euclidean; differentiability; differentiability noncommutative ... See more keywords
Differentiability of SDEs with drifts of super-linear growth
Sign Up to like & getrecommendations! Published in 2019 at "Electronic Journal of Probability"
DOI: 10.1214/18-ejp261
Abstract: We close an unexpected gap in the literature of stochastic differential equations (SDEs) with drifts of super linear growth (and random coefficients), namely, we prove Malliavin and Parametric Differentiability of such SDEs. The former is… read more here.
Keywords: sdes drifts; super linear; differentiability; linear growth ... See more keywords
Differentiability in Fréchet spaces and delay differential equations
Sign Up to like & getrecommendations! Published in 2019 at "Electronic Journal of Qualitative Theory of Differential Equations"
DOI: 10.14232/ejqtde.2019.1.13
Abstract: In infinite-dimensional spaces there are non-equivalent notions of continuous differentiability which can be used to derive the familiar results of calculus up to the Implicit Function Theorem and beyond. For autonomous differential equations with variable… read more here.
Keywords: chet spaces; differentiability; differential equations; continuous differentiability ... See more keywords
Higher differentiability of solutions to a class of obstacle problems under non-standard growth conditions
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DOI: 10.1515/forum-2019-0148
Abstract: Abstract We establish the higher differentiability of integer order of solutions to a class of obstacle problems assuming that the gradient of the obstacle possesses an extra integer differentiability property. We deal with the case… read more here.
Keywords: psi; higher differentiability; class; obstacle ... See more keywords
Continuity, differentiability and semismoothness of generalized tensor functions
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Industrial and Management Optimization"
DOI: 10.3934/jimo.2020131
Abstract: A large number of real-world problems can be transformed into mathematical problems by means of third-order real tensors. Recently, as an extension of the generalized matrix function, the generalized tensor function over the third-order real… read more here.
Keywords: tensor functions; continuity; generalized tensor; differentiability ... See more keywords