Výsledky vyhledávání - "equations of elliptic type"

Akademický článek

The Necessary Condition for Optimal Boundary Control Problems for Triple Elliptic Partial Differential Equations

Autor: Jamil A. Ali Al-Hawasy, Nabeel A. Thyab Al-Ajeeli

Publikováno v: Ibn Al-Haitham Journal for Pure and Applied Sciences, Vol 34, Iss 1 (2021)

In this work, we prove that the triple linear partial differential equations (PDEs) of elliptic type (TLEPDEs) with a given classical continuous boundary control vector (CCBCVr) has a unique "state" solution vector (SSV) by utilizing the Galerkin's m

Externí odkaz: https://doaj.org/article/7e2a7d0466734f6ab7558d3d086197af

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Akademický článek

The Continuous Classical Optimal Control Problems for Triple Elliptic Partial Differential Equations

Autor: J. A. Al-Hawasy, Doaa Kateb Jasim

Publikováno v: Ibn Al-Haitham Journal for Pure and Applied Sciences, Vol 33, Iss 1 (2020)

In this paper the Galerkin method is used to prove the existence and uniqueness theorem for the solution of the state vector of the triple linear elliptic partial differential equations for fixed continuous classical optimal control vector. Also, the

Externí odkaz: https://doaj.org/article/056c364468a04787afd45f365a0cfb0f

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Akademický článek

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Akademický článek

Multidimensional Exact Solutions of a Class of Elliptic Systems

Autor: A.A. Kosov, E.I. Semenov

Publikováno v: Известия Иркутского государственного университета: Серия "Математика", Vol 9, Iss 1, Pp 49-60 (2014)

In plasma modeling, partial differential equations and equation systems are usually applied, such as Boltzmann or Vlasov equations. Their solutions must meet initial and boundary conditions which presents a stubborn problem. Thus, the task is commonl

Externí odkaz: https://doaj.org/article/1eafcf7fad71463ca8abc549cf325244

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Akademický článek

Estimations of a differential operator in spectral parameter problems for elliptic equations with discontinuous nonlinearities

Autor: Dmitrij К Potapov

Publikováno v: Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 14, Iss 2, Pp 268-271 (2010)

The basic boundary value problems for semilinear equations of elliptic type with a spectral parameter and discontinuous nonlinearity are considered in a bounded domain with a sufficiently smooth boundary. The parameter values for which the correspond

Externí odkaz: https://doaj.org/article/f10fbd8ebc034048b3870ecd1cb92fda

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Improving bounds on the order of regular graphs of girth 5

Autor: Camino Balbuena, Manuel Bendala, X. Marcote, Encarnación Abajo

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

A ( k , g ) -graph is a k -regular graph with girth g and a ( k , g ) -cage is a ( k , g ) -graph with the fewest possible number of vertices n ( k , g ) . Constructing ( k , g ) -cages and determining the order are both very hard problems. For this

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3851dece9908f530e0d55cb9dc2e8e2
https://doi.org/10.1016/j.disc.2019.02.007

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Decay rates of Saint-Venant type for functionally graded heat-conducting materials

Autor: Ramón Quintanilla, M. C. Leseduarte

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

This paper investigates decay rates for the spatial behaviour of solutions for functionally graded heat-conducting materials. From a mathematical point of view, we obtain a new inequality of Poincarétype. This new result allows us to give new decay

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd59d19d4ea177f6a4b65590c5b0e04f
https://doi.org/10.1016/j.ijengsci.2019.03.001

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Antisymmetry of solutions for some weighted elliptic problems

Autor: Manel Sanchón, Xavier Cabré, Salvador Villegas, Marcello Lucia

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

This article concerns the antisymmetry, uniqueness, and monotonicity properties of solutions to some elliptic functionals involving weights and a double well potential. In the one-dimensional case, we introduce the continuous odd rearrangement of an

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6417e220aed04d237b9734c903c9ebca
https://doi.org/10.1080/03605302.2018.1446168

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On the regularity and stability of the dual-phase-lag equation

Autor: Ramón Quintanilla, Zhuangyi Liu, Yang Wang

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

In this paper we consider the following linear partial differential equation which is usually seen as an approximation to the dual-phase-lag heat equation proposed by Tzou. T + τ q T + τ q 2 2 T = κ △ T + κ τ T △ T + κ τ T 2 2 △ T on a b

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1cb1bde29d3af67dc4758af54e49fdc6
http://hdl.handle.net/2117/170276

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Asymptotic behavior of Palais–Smale sequences associated with fractional Yamabe-type equations

Autor: María del Mar González, Yi Fang

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

In this paper, we analyze the asymptotic behavior of Palais-Smale sequences associated with fractional Yamabe type equations on an asymptotically hyperbolic Riemannian manifold. We prove that Palais-Smale sequences can be decomposed into the solution

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55766a1fa4f01a3cde12c429f30f099b
https://doi.org/10.2140/pjm.2015.278.369

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