The Experts below are selected from a list of 51762 Experts worldwide ranked by ideXlab platform
Kirankumar L Bondar - One of the best experts on this subject based on the ideXlab platform.
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some properties of Open Subset intersection graph of a topological space
Journal of Information and Optimization Sciences, 2021Co-Authors: Raju A Muneshwar, Kirankumar L BondarAbstract:In the recent paper, authors introduced a graph topological structure, called Open Subset intersection graph of a topological space ϒ(τ) on a finite set X. In this present paper, we continue the st...
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some significant results on Open Subset inclusion graph of a topological space
Journal of Information and Optimization Sciences, 2021Co-Authors: Raju A Muneshwar, Kirankumar L BondarAbstract:In the recent paper R. A. Muneshwar and K. L. Bondar, introduced a graph topological structure, called Open Subset inclusion graph of a topological space j(t ) on a finite set X. In the present pap...
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automorphism group of the Open Subset inclusion graph of a topological space
Journal of Interdisciplinary Mathematics, 2021Co-Authors: Raju A Muneshwar, Kirankumar L BondarAbstract:In this paper, we determine automorphisms of j(τ) and prove some results on j(τ),when topological space (X, τ) is finite. Also we determine necessary and sufficient condition for the Open Subset in...
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Open Subset inclusion graph of a topological space
Journal of Discrete Mathematical Sciences and Cryptography, 2019Co-Authors: Raju A Muneshwar, Kirankumar L BondarAbstract:AbstractIn this paper we introduce a graph topological structure, called Open Subset inclusion graph of a topological space on a finite set X, where the vertex set is the collection of nonempty pro...
Gregory Seregin - One of the best experts on this subject based on the ideXlab platform.
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on the number of singular points of weak solutions to the navier stokes equations
Communications on Pure and Applied Mathematics, 2001Co-Authors: Gregory SereginAbstract:We consider a suitable weak solution to the three-dimensional Navier-Stokes equations in the space-time cylinder Ω × ]0, T[. Let Σ be the set of singular points for this solution and Σ (t) ≡ {(x, t) ∈ Σ}. For a given Open Subset ω ⊆ Ω and for a given moment of time t ∈]0, T[, we obtain an upper bound for the number of points of the set Σ(t) ⋒ ω. © 2001 John Wiley & Sons, Inc.
Berardino Sciunzi - One of the best experts on this subject based on the ideXlab platform.
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a uniqueness result for some singular semilinear elliptic equations
Communications in Contemporary Mathematics, 2016Co-Authors: Annamaria Canino, Berardino SciunziAbstract:Given Ω a bounded Open Subset of ℝN, we consider non-negative solutions to the singular semilinear elliptic equation − Δu = f uβ in Hloc1(Ω), under zero Dirichlet boundary conditions. For β > 0 and f ∈ L1(Ω), we prove that the solution is unique.
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a uniqueness result for some singular semilinear elliptic equations
arXiv: Analysis of PDEs, 2014Co-Authors: Annamaria Canino, Berardino SciunziAbstract:Given $\Omega$ a bounded Open Subset of $\mathbb{R}^N$, we consider nonnegative solutions to the singular semilinear elliptic equation $-\Delta\,u\,=\,\frac{f}{u^{\beta}}$ in $H^1_{loc}(\Omega)$, under zero Dirichlet boundary conditions. For $\beta>0$ and $f\in L^1(\Omega)$, we prove that the solution is unique.
Raju A Muneshwar - One of the best experts on this subject based on the ideXlab platform.
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some properties of Open Subset intersection graph of a topological space
Journal of Information and Optimization Sciences, 2021Co-Authors: Raju A Muneshwar, Kirankumar L BondarAbstract:In the recent paper, authors introduced a graph topological structure, called Open Subset intersection graph of a topological space ϒ(τ) on a finite set X. In this present paper, we continue the st...
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some significant results on Open Subset inclusion graph of a topological space
Journal of Information and Optimization Sciences, 2021Co-Authors: Raju A Muneshwar, Kirankumar L BondarAbstract:In the recent paper R. A. Muneshwar and K. L. Bondar, introduced a graph topological structure, called Open Subset inclusion graph of a topological space j(t ) on a finite set X. In the present pap...
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automorphism group of the Open Subset inclusion graph of a topological space
Journal of Interdisciplinary Mathematics, 2021Co-Authors: Raju A Muneshwar, Kirankumar L BondarAbstract:In this paper, we determine automorphisms of j(τ) and prove some results on j(τ),when topological space (X, τ) is finite. Also we determine necessary and sufficient condition for the Open Subset in...
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Open Subset inclusion graph of a topological space
Journal of Discrete Mathematical Sciences and Cryptography, 2019Co-Authors: Raju A Muneshwar, Kirankumar L BondarAbstract:AbstractIn this paper we introduce a graph topological structure, called Open Subset inclusion graph of a topological space on a finite set X, where the vertex set is the collection of nonempty pro...
Gengsheng Wang - One of the best experts on this subject based on the ideXlab platform.
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quantitative unique continuation for the semilinear heat equation in a convex domain
Journal of Functional Analysis, 2010Co-Authors: Kim Dang Phung, Gengsheng WangAbstract:In this paper, we study certain unique continuation properties for solutions of the semilinear heat equation ∂t u −� u = g(u), with the homogeneous Dirichlet boundary condition, over Ω × (0 ,T ∗). Ω is a bounded, convex Open Subset of R d , with a smooth boundary for the Subset. The function g : R → R satisfies certain conditions. We establish some observation estimates for (u − v) ,w hereu and v are two solutions to the above-mentioned equation. The observation is made over ω ×{ T } ,w hereω is any non-empty Open Subset of Ω ,a ndT is a positive number such that both u and v exist on the interval [0 ,T ]. At least two results can be derived from these estimates: (i) if � (u − v)(· ,T )� L2(ω) = δ ,t hen� (u − v)(· ,T )� L2(Ω) Cδ α where constants C> 0a ndα ∈ (0, 1) can be independent of u and v in certain cases; (ii) if two solutions of the above equation hold the same value over ω ×{ T }, then they coincide over Ω ×[ 0 ,T m). Tm indicates the maximum number such that these two solutions exist on [0 ,T m).
