oalib

Publish in OALib Journal

ISSN: 2333-9721

APC: Only $99

Submit

Any time

2019 ( 179 )

2018 ( 286 )

2017 ( 287 )

2016 ( 283 )

Custom range...

Search Results: 1 - 10 of 149739 matches for " H. Frankowska "
All listed articles are free for downloading (OA Articles)
Page 1 /149739
Display every page Item
Value Functions for Bolza Problems with Discontinuous Lagrangians and Hamilton-Jacobi Inequalities
G. Dal Maso,H. Frankowska
Mathematics , 2000,
Abstract: We investigate the value function of the Bolza problem of the Calculus of Variations $$ V (t,x)=\inf \{\int_{0}^{t} L (y(s),y'(s))ds + \phi(y(t)) : y \in W^{1,1} (0,t; R^n) ; y(0)=x \}, $$ with a lower semicontinuous Lagrangian $L$ and a final cost $\phi$, and show that it is locally Lipschitz for $t>0$ whenever $L$ is locally bounded. It also satisfies Hamilton-Jacobi inequalities in a generalized sense. When the Lagrangian is continuous, then the value function is the unique lower semicontinuous solution to the corresponding Hamilton-Jacobi equation, while for discontinuous Lagrangian we characterize the value function by using the so called contingent inequalities.
Uniqueness of solutions to Hamilton-Jacobi equations arising in the Calculus of Variations
G. Dal Maso,H. Frankowska
Mathematics , 2000,
Abstract: We prove the uniqueness of the viscosity solution to the Hamilton-Jacobi equation associated with a Bolza problem of the Calculus of Variations, assuming that the Lagrangian is autonomous, continuous, superlinear, and satisfies the usual convexity hypothesis. Under the same assumptions we prove also the uniqueness, in a class of lower semicontinuous functions, of a slightly different notion of solution, where classical derivatives are replaced only by subdifferentials. These results follow from a new comparison theorem for lower semicontinuous viscosity supersolutions of the Hamilton-Jacobi equation, that is proved in the general case of lower semicontinuous Lagrangians.
Second-order sensitivity relations and regularity of the value function for Mayer's problem in optimal control
Piermarco Cannarsa,Hélène Frankowska,Teresa Scarinci
Mathematics , 2014,
Abstract: This paper investigates the value function, $V$, of a Mayer optimal control problem with the state equation given by a differential inclusion. First, we obtain an invariance property for the proximal and Fr\'echet subdifferentials of $V$ along optimal trajectories. Then, we extend the analysis to the sub/superjets of $V$, obtaining new sensitivity relations of second order. By applying sensitivity analysis to exclude the presence of conjugate points, we deduce that the value function is twice differentiable along any optimal trajectory starting at a point at which $V$ is proximally subdifferentiable. We also provide sufficient conditions for the local $C^2$ regularity of $V$ on tubular neighborhoods of optimal trajectories.
Autonomous Integral Functionals with Discontinuous Nonconvex Integrands: Lipschitz Regularity of Minimizers, DuBois-Reymond Necessary Conditions, and Hamilton-Jacobi Equations
Gianni Dal Maso,Helene Frankowska
Mathematics , 2002,
Abstract: This paper is devoted to the autonomous Lagrange problem of the calculus of variations with a discontinuous Lagrangian. We prove that every minimizer is Lipschitz continuous if the Lagrangian is coercive and locally bounded. The main difference with respect to the previous works in the literature is that we do not assume that the Lagrangian is convex in the velocity. We also show that, under some additional assumptions, the DuBois-Reymond necessary condition still holds in the discontinuous case. Finally, we apply these results to deduce that the value function of the Bolza problem is locally Lipschitz and satisfies (in a generalized sense) a Hamilton-Jacobi equation.
Non-stimulating tradition: The Effect of Temperament on Painting Art Preferences
Joanna Rz?dkowska,Alicja Paracka,Natalia Frankowska
Avant : Journal of Philosophical-Interdisciplinary Vanguard , 2010,
Abstract: This study examined the effect of temperament on preferences for painted artwork. Our preferences are determined by different personality traits. The study presented here was a replication of the current study of Terror Management Theory (TMT) with the structures of temperament as individual differences. The results showed significant differences in preferences for traditional and modern art, depending on the degree of harmonization of the temperamental structures. Sanguines and melancholics in the no fear condition evaluated modern art most highly, however in the fear condition they evaluated traditional art most highly. This effect confirms the importance of individual differences and the situational variability of preferences in art.
Niestymuluj ca tradycja: wp yw temperamentu na preferencje w sztuce
Joanna Rz?dkowska,Alicja Paracka,Natalia Frankowska
Avant : Journal of Philosophical-Interdisciplinary Vanguard , 2010,
Abstract: This study examined the effect of temperament on preferences for painted artwork. Our preferences are determined by different personality traits. The study presented here was a replication of the current study of Terror Management Theory (TMT) with the structures of temperament as individual differences. The results showed significant differences in preferences for traditional and modern art, depending on the degree of harmonization of the temperamental structures. Sanguines and melancholics in the no fear condition evaluated modern art most highly, however in the fear condition they evaluated traditional art most highly. This effect confirms the importance of individual differences and the situational variability of preferences in art.
Sensitivity relations for the Mayer problem with differential inclusions
Piermarco Cannarsa,Helene Frankowska,Teresa Scarinci
Mathematics , 2014,
Abstract: In optimal control,sensitivity relations are usually understood as inclusions that identify the pair formed by the dual arc and the Hamiltonian, evaluated along the associated minimizing trajectory, as a suitable generalized gradient of the value function. In this paper, sensitivity relations are obtained for the Mayer problem associated with the differential inclusion $\dot x\in F(x)$ and applied to derive optimality conditions. Our first application concerns the maximum principle and consists in showing that a dual arc can be constructed for every element of the superdifferential of the final cost. As our second application, with every nonzero limiting gradient of the value function at some point $(t,x)$ we associate a family of optimal trajectories at $(t,x)$ with the property that families corresponding to distinct limiting gradients have empty intersection.
Infection cases in infants and small children with atopic dermatitis – own observations
Helena Rotsztejn,Joanna Frankowska,Barbara Kamer,Ewa Trznadel-Grodzka
Post?py Higieny i Medycyny Do?wiadczalnej , 2012,
Abstract: Introduction:The purpose of the work is to estimate the frequency of occurrence of various infections in infants and small children, aged between 0 and 36 months with atopic dermatitis in the practice of a family doctor.Material/Methods:The study has been conducted on the basis of the retrospective analysis of medical documentation of disease among children born in 2005–2008 treated in Outpatient Clinic of the Polish Mother’s Memorial Hospital in Lodz.Results:Children suffering from atopic dermatitis are more prone to develop infectious diseases.Conclusions:Infectious diseases in children with atopic dermatitis are of more chronic nature and more often require antibiotic therapy. Such children often manifest chronic diarrhea and their stool contains Staphylococcus aureus. They are more often hospitalized because of difficulty in setting a diagnosis and applying treatment in outpatient clinics.
Atopic dermatitis in a general practitioner practice. Atopowe zapalenie skóry w praktyce lekarza rodzinnego.
Joanna Frankowska,Ewa Trznadel-Bud?ko,Helena Rotsztejn
Clinical Dermatology , 2009,
Abstract: Since allergic diseases are more and more common nowadays, they are a very important clinical problem. The effective treatment of these diseases in childhood may contribute to decreasing diseases at a later time. The role of general practitioners in diagnosing atopic dermatitis is extremely significant, because they are the first who examine children with atopic lesions. They ought to educate parents about the basic knowledge, identification and elimination contributing factors of atopic dermatitis and systematically control children's health. The treatment should be based on the close cooperation of general practitioners, paediatricians, allergologists and dermatologists because atopic dermatitis may be the starting point of chronic disease process.
Characteristics of the Alternative Phenotype of Microglia/Macrophages and its Modulation in Experimental Gliomas
Konrad Gabrusiewicz, Aleksandra Ellert-Miklaszewska, Maciej Lipko, Malgorzata Sielska, Marta Frankowska, Bozena Kaminska
PLOS ONE , 2011, DOI: 10.1371/journal.pone.0023902
Abstract: Microglia (brain resident macrophages) accumulate in malignant gliomas and instead of initiating the anti-tumor response, they switch to a pro-invasive phenotype, support tumor growth, invasion, angiogenesis and immunosuppression by release of cytokines/chemokines and extracellular matrix proteases. Using immunofluorescence and flow cytometry, we demonstrate an early accumulation of activated microglia followed by accumulation of macrophages in experimental murine EGFP-GL261 gliomas. Those cells acquire the alternative phenotype, as evidenced by evaluation of the production of ten pro/anti-inflammatory cytokines and expression profiling of 28 genes in magnetically-sorted CD11b+ cells from tumor tissues. Furthermore, we show that infiltration of implanted gliomas by amoeboid, Iba1-positive cells can be reduced by a systematically injected cyclosporine A (CsA) two or eight days after cell inoculation. The up-regulated levels of IL-10 and GM-CSF, increased expression of genes characteristic for the alternative and pro-invasive phenotype (arg-1, mt1-mmp, cxcl14) in glioma-derived CD11b+ cells as well as enhanced angiogenesis and tumor growth were reduced in CsA-treated mice. Our findings define for the first time kinetics and biochemical characteristics of glioma-infiltrating microglia/macrophages. Inhibition of the alternative activation of tumor-infiltrating macrophages significantly reduced tumor growth. Thus, blockade of microglia/macrophage infiltration and their pro-invasive functions could be a novel therapeutic strategy in malignant gliomas.
Page 1 /149739
Display every page Item


Home
Copyright © 2008-2017 Open Access Library. All rights reserved.