Results 61 to 70 of about 1,120,275 (201)

Resultados de existência para equações elípticas com termos singulares [PDF]

open access: yes, 2013
Doutoramento em Matemática e AplicaçõesEsta dissertação estuda em detalhe três problemas elípticos: (I) uma classe de equações que envolve o operador Laplaciano, um termo singular e nãolinearidade com o exponente crítico de Sobolev, (II) uma classe de ...
Murillo, Kelly Patricia
core  

SOBOLEV SPACES OVER $\R^\infty$

open access: yes, 2022
Our goal in this article is to construct Sobolev  spaces over $\R^\infty.$ Completeness of the Sobolev space over $\R^\infty$ are discussed. In application we have constructed the Sobolev spaces on a separable  Banach space $B.
Kalita, Hemanta
core   +1 more source

Safeguarded Reinforcement Learning for Dynamic Environments

open access: yesOptimal Control Applications and Methods, EarlyView.
This paper uses a combination of Reinforcement Learning and Funnel Control to train a fast and safe controller for systems operating in changing environments. Furthermore, the presented formulation overcomes former limitations associated with the need for predefined reference trajectories.
Simon Gottschalk
wiley   +1 more source

Trace theorems for Sobolev-Slobodeckij spaces with or without weights

open access: yesJournal of Function Spaces and Applications, 2007
We prove that the well-known trace theorem for weighted Sobolev spaces holds true under minimal regularity assumptions on the domain. Using this result, we prove the existence of a bounded linear right inverse of the trace operator for Sobolev ...
Doyoon Kim
doaj   +1 more source

Quasi-inner product spaces of quasi-Sobolev spaces and their completeness

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2018
      Sequences spaces  , m  ,  p  have called quasi-Sobolev spaces were  introduced   by Jawad . K. Al-Delfi in 2013  [1]. In this  paper , we deal with notion of  quasi-inner product  space  by using concept of  quasi-normed  space which is ...
Jawad Kadhim Khalaf Al-Delfi
doaj   +1 more source

Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed bvps in exterior domains [PDF]

open access: yes, 2013
This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 World Scientific Publishing.Direct segregated systems of boundary-domain integral equations are formulated for the mixed (
Mikhailov, SE   +2 more
core   +1 more source

Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr   +3 more
wiley   +1 more source

Axiomatic theory of Sobolev spaces [PDF]

open access: yes, 2001
We develop an axiomatic approach to the theory of Sobolev spaces on metric measure spaces and we show that this axiomatic construction covers the main known examples (Hajłasz Sobolev spaces, weighted Sobolev spaces, Upper-gradients, etc).
Gol'dshtein, Vladimir, Troyanov, Marc
core   +4 more sources

Sobolev Spaces and Potential Spaces Associated to Hermite Polynomials Expansions

open access: yesExtracta Mathematicae, 2018
The aim of this paper is to study the relation existing between potential spaces and Sobolev spaces, induced by the Ornstein-Uhlenbeck differential operator and associated to Hermite polynomials expansions, where we consider the multidimensional Gaussian
Iris A. López P.
doaj  

Trudinger–Moser Inequalities in Fractional Sobolev–Slobodeckij Spaces and Multiplicity of Weak Solutions to the Fractional-Laplacian Equation

open access: yesAdvanced Nonlinear Studies, 2019
In line with the Trudinger–Moser inequality in the fractional Sobolev–Slobodeckij space due to [S. Iula, A note on the Moser–Trudinger inequality in Sobolev–Slobodeckij spaces in dimension one, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.
Zhang Caifeng
doaj   +1 more source

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