Results 61 to 70 of about 95,793 (250)
A double inverse problem for Fredholm integro-differential equation of elliptic type
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 In this paper the double inverse problem for partial differential equations is considered. The method of studying the one value solvability of the double inverse problem for a Fredholm integro-differential equation of elliptic type with degenerate kernel
Tursun K Yuldashev
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Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
On optimal control problem for nonlinear elliptic equation with variable p(x)-Laplacian
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2016 An optimal control problem for the Dirichlet boundary value problem for the nonlinear elliptic equation with p(x)-Laplacian is considered. It is shown that this problem has at least one solution with respect to certain set of admissible pairs.
P. I. Kogut, P. I. Tkachenko
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Operatori ellittici massiminimanti
Le Matematiche, 1996 In the theory of second order elliptic equations, in non divergence form, two non linear elliptic operators, which are non convex with respect to the second derivatives, are studied.
Cristina Giannotti
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Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem
International Journal of Differential Equations, 2013 We prove the existence and uniqueness of entropy solution for nonlinear anisotropic elliptic equations with Neumann homogeneous boundary value condition for -data.
B. K. Bonzi, S. Ouaro, F. D. Y. Zongo
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On Optimal Control Problem in Coefficients for Nonlinear Elliptic Variational Inequalities
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2011 In this paper we study an optimal control problem for a nonlinear elliptic variational inequality with generalized solenoidal coefficients which we adopt as controls in L°°(fi). We prove the existence of optimal solution of the stated problem.
O. P. Kogut
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Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
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A unique continuation property for linear elliptic systems and nonresonance problems
Electronic Journal of Differential Equations, 2001 The aim of this paper is to study the existence of solutions for a quasilinear elliptic system where the nonlinear term is a Caratheodory function on a bounded domain of $mathbb{R}^N$, by proving the well known unique continuation property for elliptic ...
A. Anane +3 more
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Elliptic Problems with Nonlinearities Indefinite in Sign
Journal of Functional Analysis, 1996 The authors study the semilinear Dirichlet problem \[ -\Delta u= \lambda u+k(x) u^q-h(x)u^p\quad\text{ in } \Omega, \quad u=0 \text{ on } \partial\Omega. \tag{1} \] Here, \(\Omega \subset \mathbb{R}^n\), \(n\geq 3\), is a bounded, smooth domain, \(k,h\in L^1\) are nonnegative functions and \(1 \lambda^*\) problem (1) admits a positive weak solution in \
Alama, Stanley, Tarantello, Gabriella
openaire +1 more source