LAUSR

A method to measure data complexity of a complicated medical data set

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1 Published in 2022 at "International Journal of Imaging Systems and Technology"

DOI: 10.1002/ima.22760

Abstract: In this article, we consider data complexity in the context of calcium transient signal data collected from induced pluripotent stem cell‐derived cardiomyocytes. We present a novel way to measure data complexity based on the nearest… read more here.

Keywords: data complexity; calcium; derived cardiomyocytes; measure data ... See more keywords

Gradient estimates for a class of quasilinear elliptic equations with measure data

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0 Published in 2018 at "Science China Mathematics"

DOI: 10.1007/s11425-017-9205-y

Abstract: We study a class of non-homogeneous quasilinear elliptic equations with measure data to obtain an optimal regularity estimate. We prove that the gradient of a weak solution to the problem is as integrable as the… read more here.

Keywords: class; measure; elliptic equations; measure data ... See more keywords

Existence results for a class of nonlinear parabolic equations of generalized porous medium type with measure data

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0 Published in 2020 at "Ricerche di Matematica"

DOI: 10.1007/s11587-019-00480-w

Abstract: In this paper, we study the existence of a special type of distributional solutions, the so-called “renormalized solutions” for some parabolic problems with unbounded term and general measure data. We obtain the a priori estimates… read more here.

Keywords: results class; existence; measure data; existence results ... See more keywords

Smallness and cancellation in some elliptic systems with measure data

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1 Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.05.047

Abstract: Abstract In a bounded open subset Ω ⊂ R n , we study Dirichlet problems with elliptic systems, involving a finite Radon measure μ on R n with values into R N , defined by… read more here.

Keywords: measure; systems measure; smallness cancellation; elliptic systems ... See more keywords

A two obstacle problem with variable exponent and measure data

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1 Published in 2017 at "Turkish Journal of Mathematics"

DOI: 10.3906/mat-1409-9

Abstract: Abstract: We consider a two-obstacle problem with measure data. For measures that do not charge sets of zero p(·)capacity, we obtain the existence and uniqueness of the solution. On the other hand, for the measure… read more here.

Keywords: two obstacle; measure data; measure; obstacle problem ... See more keywords