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The Relaxed Work Functional in Linear Viscoelasticity
Mathematics and Mechanics of Solids, 2004The relaxed work from a history H' to a history H is defined as the minimum work required to approach H via a sequence of continuations of H'. I prove three basic properties of the relaxed work: subadditivity, lower semicontinuity with respect to H for fixed H', and two dissipation inequalities.
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A remark on relaxation of integral functionals
Nonlinear Analysis: Theory, Methods & Applications, 1991The paper under review concerns the calculation of the relaxed functional \(F(u)=\int_ \Omega f(\nabla u)dx\) with \(u\in W^{1,p}(\Omega; \mathbb{R}^ 2)\), \(2\leq ...
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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Semicontinuity and relaxation of \(L^{\infty }\)-functionals
2009Let \(\Omega \subset \mathbb{R}^N\) be a bounded open set; a functional \(F\) on \(\mathcal A \times W^{1,\infty} (\Omega),\) where \(\mathcal A\) is the class of open subsets of \(\Omega,\) is called a \(L^\infty\)-functional if it may be represented in the so-called supremal form: \[ F(u,A) = \underset {x \in A}{\text{ess\,sup}} f(x,u(x),Du(x ...
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Some results about relaxation of integral functionals
1987Integral functionals of the form \[ I(u)=\int^{1}_{0}f(t,u')dt\quad u\in H^{1,q}(0,1;{\mathbb{R}}^ n) \] are considered. Here \(n\geq 1\), \(q\geq 1\), and \(f: (0,1)\times {\mathbb{R}}^ n\to {\mathbb{R}}\) is a nonnegative convex integrand. It is known [see the reviewer and \textit{G. Dal Maso}, Nonlinear Anal., Theory Methods Appl.
BENASSI, Carlo 6/8/1962, GAVIOLI, Andrea
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Relaxation of Unbounded Functionals
2019Luciano Carbone, Riccardo De Arcangelis
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Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma
Ca-A Cancer Journal for Clinicians, 2020Aaron J Grossberg +2 more
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Oral complications of cancer and cancer therapy
Ca-A Cancer Journal for Clinicians, 2012Joel B Epstein +2 more
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