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Boundary Value Problems and Boundary Value Spaces [PDF]
AbstractThis chapter is devoted to the study of inhomogeneous boundary value problems. For this, we shall reformulate the boundary value problem again into a form which fits within the general framework of evolutionary equations. In order to have an idea of the type of boundary values which make sense to study, we start off with a section that deals ...
Christian Seifert +2 more
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The paper deals with the study of the existence result for a Kirchhoff elliptic system with additive right-hand side and variable parameters by using the sub-/supersolution method. Our study is a natural extension result of our previous one in (Boulaaras
Mohamed Haiour +3 more
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Boundary Value Problems with Compatible Boundary Conditions [PDF]
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Karakostas, G. L., Palamides, P. K.
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Nonharmonic analysis of boundary value problems [PDF]
In this paper we develop the global symbolic calculus of pseudo-differential operators generated by a boundary value problem for a given (not necessarily self-adjoint or elliptic) differential operator.
Ruzhansky, Michael, Tokmagambetov, Niyaz
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Geodesic boundary value problems with symmetry [PDF]
This paper shows how left and right actions of Lie groups on a manifold may be used to complement one another in a variational reformulation of optimal control problems equivalently as geodesic boundary value problems with symmetry.
Cotter, C. J., Holm, D. D.
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In this paper, we study a sequential Caputo fractional q-integrodifference equation with fractional q-integral and Riemann–Liouville fractional q-derivative boundary value conditions.
Nichaphat Patanarapeelert +1 more
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Pseudospectra of Semiclassical Boundary Value Problems [PDF]
We consider operators $-\Delta + X$ where $X$ is a constant vector field, in a bounded domain and show spectral instability when the domain is expanded by scaling.
Galkowski, Jeffrey
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Symmetry approach in boundary value problems [PDF]
The problem of construction of the boundary conditions for nonlinear equations is considered compatible with their higher symmetries. Boundary conditions for the sine-Gordon, Jiber-Shabat and KdV equations are discussed.
Habibullin, I. T.
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In this paper, we investigate the quasilinear elliptic equations involving multiple critical Sobolev–Hardy terms with Dirichlet boundary conditions on bounded smooth domains Ω⊂RN $\varOmega \subset R^{N}$ ( N≥3 ${N \ge 3} $), and prove the multiplicity ...
Yuanyuan Li
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We consider the following Schrödinger–Bopp–Podolsky problem: { − Δ u + V ( x ) u + ϕ u = λ f ( u ) + | u | 4 u , in R 3 , − Δ ϕ + Δ 2 ϕ = u 2 , in R 3 .
Jie Yang, Haibo Chen, Senli Liu
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