Nonlinear non-periodic homogenization: existence, local uniqueness and estimates
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DOI: 10.1080/00036811.2025.2527785
Abstract: We consider periodic homogenization with localized defects of boundary value problems for semilinear ODE systems of the type $$ \Big((A(x/\varepsilon)+B(x/\varepsilon))u'(x)+c(x,u(x))\Big)'= d(x,u(x)) \mbox{ for } x \in (0,1),\; u(0)=u(1)=0. $$ For small $\varepsilon>0$ we show existence… read more here.
Keywords: mathbb; cdot; varepsilon; local uniqueness ... See more keywords
Discrete inverse problems with internal functionals
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DOI: 10.1088/1361-6420/adbd69
Abstract: We study the problem of finding the resistors in a resistor network from measurements of the power dissipated by the resistors under different loads. We give sufficient conditions for local uniqueness, i.e. conditions that guarantee… read more here.
Keywords: internal functionals; problems internal; inverse problems; problem ... See more keywords
Statistical causality and local uniqueness for solutions of the martingale problem
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DOI: 10.2298/fil1808851p
Abstract: In this paper we consider the concept of statistical causality between filtrations associated with stopping times, which is based on Granger’s definition of causality. Especially, we consider a generalization of a causality relationship ”G is… read more here.
Keywords: martingale problem; local uniqueness; statistical causality; causality ... See more keywords