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Wyniki wyszukiwania dla: SOBOLEV SPACES
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Minimization of integral functionals in Sobolev spaces
PublikacjaPraca ma charakter przeglądowy i jest skierowana do młodych matematyków i doktorantów. Dotyczy problematyki omawianej przeze mnie na Zimowej Szkole Centrum Badań Nieliniowych im. J.P. Schaudera w Toruniu w roku 2009. Zawarłam w niej wybrane, znane wyniki dotyczące problemu minimalizacji funkcjonałów całkowych w przestrzeniach Sobolewa funkcji jednej zmiennej.
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Regularity of weak solutions for aclass of elliptic PDEs in Orlicz-Sobolev spaces
PublikacjaWe consider the elliptic partial differential equation in the divergence form $$-\div(\nabla G(\nabla u(x))) t + F_u (x, u(x)) = 0,$$ where $G$ is a convex, anisotropic function satisfying certain growth and ellipticity conditions We prove that weak solutions in $W^{1,G}$ are in fact of class $W^{2,2}_{loc}\cap W^{1,\infty}_{loc}$.
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Anisotropic Orlicz–Sobolev spaces of vector valued functions and Lagrange equations
PublikacjaIn this paper we study some properties of anisotropic Orlicz and Orlicz–Sobolev spaces of vector valued functions for a special class of G-functions. We introduce a variational setting for a class of Lagrangian Systems. We give conditions which ensure that the principal part of variational functional is finitely defined and continuously differentiable on Orlicz–Sobolev space.
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Mountain pass type periodic solutions for Euler–Lagrange equations in anisotropic Orlicz–Sobolev space
PublikacjaUsing the Mountain Pass Theorem, we establish the existence of periodic solution for Euler–Lagrange equation. Lagrangian consists of kinetic part (an anisotropic G-function), potential part and a forcing term. We consider two situations: G satisfying at infinity and globally. We give conditions on the growth of the potential near zero for both situations.
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Design Space Reduction for Expedited Multi-Objective Design Optimization of Antennas in Highly-Dimensional Spaces
PublikacjaA surrogate-based technique for efficient multi-objective antenna optimization is discussed. Our approach exploits response surface approximation (RSA) model constructed from low-fidelity antenna model data (here, obtained through coarse-discretization electromagnetic simulations). The RSA model enables fast determination of the best available trade-offs between conflicting design goals. The cost of RSA model construction for multi-parameter...
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Move into the open space – what can we expect from moving artistic interventions to open urban spaces?
PublikacjaThe paper discuses the role of incorporating creative engagement into the processes of urban and social development using cultural means of action and expression and the potential of artistic interventions in public space. The block of initiatives within the People’s Smart Sculpture EU project, realized by Gdańsk City Gallery, has been named “Move Into The Open Space”. This paper will provide...
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High Efficiency Configuration Space Sampling -- probing the distribution of available states
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The outdoor market places in the public space of a modern city. - Vol. I
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Przestrzeń i Forma
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<title>Estimation and control of discrete fractional order states-space systems</title>
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Translation Spaces
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Governmental supported space internship programmes in new ESA member states - Polish perspective
PublikacjaOver last 10 years ve new countries - Czech Republic, Romania, Poland, Hungary and Estonia - have joined the European Space Agency. These countries are currently experiencing a considerable increase of space activities aiming to take part in the European and Global space market. New companies, start-ups and consortiums have been created alongside oces of foreign entities have opened their premises in these countries. All of them...
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Public Spaces - Coexistence and Participation
PublikacjaThe paper is an attempt to answer two questions: (1) how to develop positive social relations and citizenship among residents of cities in Poland and (2) howsuitable shaping of public space affects the activation and integration of local residents.The specificity of the post-war process of urbanization in Poland - a country traditionally agricultural - was its political dimension (forced 'nationalisation' of agriculture and industrialization...
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Space
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Alternative approach to the solution of the momentum-space Schrödinger equation for bound states of the N-dimensional Coulomb problem
PublikacjaW pracy rozważono zagadnienie Schrödingera-Coulomba w R^N, N>=2, w reprezentacji pędowej. Radialne równanie całkowe występujące w stowarzyszonym zagadnieniu sturmowskim rozwiązano, stosując podane przez Ossiciniego symetryczne rozwinięcie typu Poissona funkcji Legendre'a drugiego rodzaju w szereg iloczynów wielomianów Gegenbauera. Następnie wykorzystano relację pomiędzy rozwiązaniami zagadnienia sturmowskiego oraz zagadnienia własnego...
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ADVANCES IN SPACE RESEARCH
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The outdoor market places in the public spaces of a modern city = Miejsca handlu targowego w przestrzeni publicznej współczesnego miasta (vol.1)
PublikacjaNowadays the market in the public space has different meanings. One of the point of view concentrate on the market as a low attraction of the city, which make it more chaotic. Although there exist contrary point of view – to apply the outdoor markets and the fairs in the public space as a one of the main attraction dedicated for toursits and local people.
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Game about space or game in the space?
PublikacjaThe article analyzes various aspects of the actions taken by participants involved in the process of a spatial change. Such a process is described as a game about space or a game in the space. Different terminology is presented, in particular the meaning of: spatial order, regional studies, eco-development, sustainable development. Different forms of the game are analyzed: space as a theater, as a casino, as an area of conflict....
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Generalized Dobrushin Coefficients on Banach Spaces
PublikacjaThe asymptotic behavior of iterates of bounded linear operators (not necessarily positive), acting on Banach spaces, is studied. Through the Dobrushin ergodicity coefficient, we generalize some ergodic theorems obtained earlier for classical Markov semigroups acting on L1 (or positive operators on abstract state spaces).
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On the topology of spaces of partial and local maps
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