Results 81 to 90 of about 1,163,773 (213)
Gradient Systems and Scale‐Aware Heat Equations
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT The extreme miniaturization of modern microelectronic architectures exposes the limitations of classical continuum mechanics, as Fourier's law breaks down at sub‐micron scales (100–0.1 μm$\umu{\rm m}$). While molecular models can accurately capture these thermal flow regimes, they remain computationally expensive.
Grigor Nika
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t-Best Proximity Pair in Fuzzy Normed Spaces
Journal of Mathematical Extension, 2014 This study has considered the problem of finding best proximity pair in fuzzy metric spaces and uniformly convex fuzzy Banach spaces for fuzzy cyclic contraction map. We prove the uniqueness of this point in uniformly fuzzy Banach spaces. We also give
H. R. Khademzadeh, H. Mazaheri
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Gradient Flows on Sparse Representations for PDE‐Regularized Inverse Problems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT In this short paper, we summarize the theory of Atomic Gradient Flows (AGF) introduced in (Amend, Carioni and Zemas, arxiv:2603.25675, 2026), which provides a framework to construct gradient flows on sparse representations for convex regularized optimization problems.
Christian Amend, Marcello Carioni
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Ostrowski-Type Inequalities for Functions of Two Variables in Banach Spaces
MathematicsIn this paper, we offer Ostrowski-type inequalities that extend the findings that have been proven for functions of one variable with values in Banach spaces, conducted in a remarkable study by Dragomir, to functions of two variables containing values in
Muhammad Amer Latif +1 more
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The Weak Topologies of Banach Spaces [PDF]
Proceedings of the National Academy of Sciences, 1939 Not ...
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT We consider optimal control of the heat equation where the control variable appears linearly as a boundary control. We establish switching times optimization for bang–bang controls with multiple switching times. Particularly, representations of variational derivatives of the state and the cost w.r.t. switching times are given.
Georg Vossen
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Advances in Difference Equations, 2020 In this paper, we discuss fixed point theorems for a new χ-set contraction condition in partially ordered Banach spaces, whose positive cone K $\mathbb{K}$ is normal, and then proceed to prove some coupled fixed point theorems in partially ordered Banach
Hemant Kumar Nashine +3 more
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Demonstratio Mathematica, 1997 Let \(X\) be an infinite-dimensional complex Banach space, and let \(T\) be a bounded linear operator defined on \(X\) satisfying \(\dim T^{- 1}(0)= 0\), \(\dim X/T(X)= 1\) and \(\bigcap^\infty_{n= 1}T^n(X)= \{0\}\). Such an operator is known as a shift [\textit{R. M. Crownover}, Mich. Math. J. 19, 233-247 (1972; Zbl 0228.47016)]. If \(x_0\) is a fixed
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Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson +2 more
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Stochastic processes on totally disconnected topological groups
International Journal of Mathematics and Mathematical Sciences, 2003 Stochastic processes on totally disconnected topological groups are investigated. In particular, they are considered for diffeomorphism groups and loop groups of manifolds on non-Archimedean Banach spaces.
S. V. Ludkovsky
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