Neumann conditions
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Part 1 of ebook "Partial differential equations: An introduction" provides readers with contents including: Chapter 1 - Where PDEs come from; Chapter 2 - Waves and diffusions; Chapter 3 - Reflections and sources; Chapter 4 - Boundary problems; Chapter 5 - Fourier series; Chapter 6 - Harmonic functions; Chapter 7 - Green’s identities and Green’s functions; Chapter 8 - Computation of solutions;...
239p caongulam 10-11-2023 7 4 Download
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The location of interface plays a pivotal role in studying on wetting phase transition of Bose-Einstein condensates (BECs) mixture. Beside parameters of system, the position of the interface depends on the applied boundary condition. Using double-parabola approximation (DPA), we consider the dependence of position of interface on parameters in semi-infinite space under Neumann boundary condition.
6p vimelindagates 18-07-2022 5 2 Download
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In this paper, we introduce a new adaptive method for computing the numerical solutions of a class of quenching parabolic equations which exhibit a solution with one singularity. The continuity of the quenching time is studied in this paper where we have considered a parabolic equation with variable reaction which quenches in a finite time. For this fact, we have estimated the quenching time and have proved that it is continuous as a function of the nonlinear source for the following boundary value problem...
23p nguaconbaynhay11 07-04-2021 20 1 Download
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In this paper, we study the Neumann problem for second order hyperbolic equations without initial data in nonsmooth domains. Our intension was to prove the existence of a generalized solution to this problem by applying the results of this problem to the initial data.
7p tamynhan8 04-11-2020 16 1 Download
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In this paper, we study the Neumann boundary value problems without initial condition for Hyperbolic systems in cylinders. The main obtained results are the uniqueness and the existence of generalized solutions.
12p tamynhan8 04-11-2020 12 2 Download
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The convergence rate in noncommutative probability space have been established by several authors, e.g., Jajte [6], G¨otze and Tikhomirov [5], Chistyakov and G¨otze [3] and Stoica [13]. In particular, the authors in [3] gave estimates of the Lévy distance for freely independent partial sums and the author in [13] proved the Baum and Katz theorem in noncommutative Lorentz spaces. In this paper, we present some results on convergence rate for sequences of measurable operators under various conditions.
9p quenchua7 07-08-2020 6 1 Download
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The parabolic equation is of divergence form with discontinuous coefficients. We consider a nonlinear condition on a part of the boundary such that the power laws (and the Robin boundary condition) appear as particular cases.
18p danhdanh27 07-01-2019 11 1 Download
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This paper is concerned with the blow-up of solutions to some nonlocal inhomogeneous dispersal equations subject to homogeneous Neumann boundary conditions. We establish conditions on nonlinearities sufficient to guarantee that solutions exist for all time as well as blow up at some finite time. Moreover, lower bounds for blow-up time of nonlocal problems are obtained.
17p tuongvidanh 06-01-2019 30 1 Download
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In this paper we describe the propagation of C ∞ and Sobolev singularities for the wave equation on C ∞ manifolds with corners M equipped with a Rie2 1 mannian metric g. That is, for X = M × Rt , P = Dt − ∆M , and u ∈ Hloc (X) solving P u = 0 with homogeneous Dirichlet or Neumann boundary conditions, we show that WFb (u) is a union of maximally extended generalized broken bicharacteristics. This result is a C ∞ counterpart of Lebeau’s results for the propagation of analytic singularities on real analytic manifolds with...
65p dontetvui 17-01-2013 54 8 Download
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In this paper we extend the results obtained in [9], [10] to manifolds with SpinC -structures defined, near the boundary, by an almost complex structure. We show that on such a manifold with a strictly pseudoconvex boundary, there ¯ are modified ∂-Neumann boundary conditions defined by projection operators, Reo , which give subelliptic Fredholm problems for the SpinC -Dirac operator, + .eo . We introduce a generalization of Fredholm pairs to the “tame” category.
68p dontetvui 17-01-2013 64 8 Download
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Let X be a compact K¨hler manifold with strictly pseudoconvex bounda ary, Y. In this setting, the SpinC Dirac operator is canonically identified with ¯ ¯ ∂ + ∂ ∗ : C ∞ (X; Λ0,e ) → C ∞ (X; Λ0,o ). We consider modifications of the classi¯ cal ∂-Neumann conditions that define Fredholm problems for the SpinC Dirac operator. In Part 2, [7], we use boundary layer methods to obtain subelliptic estimates for these boundary value problems. Using these results, we obtain an expression for the finite part of the holomorphic Euler characteristic of a strictly pseudoconvex manifold...
33p noel_noel 17-01-2013 42 5 Download
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MULTIPLE SOLUTIONS FOR QUASILINEAR ELLIPTIC NEUMANN PROBLEMS IN ORLICZ-SOBOLEV SPACES NIKOLAOS HALIDIAS AND VY K. LE Received 15 October 2004 and in revised form 21 January 2005 We investigate the existence of multiple solutions to quasilinear elliptic problems containing Laplace like operators (φ-Laplacians). We are interested in Neumann boundary value problems and our main tool is Br´ zis-Nirenberg’s local linking theorem. e 1. Introduction In this paper, we consider the following elliptic problem with Neumann boundary condition, −div α ∇u(x) ∇u(x) = g(x,u) a.e. on Ω (1.1) ∂u = 0 a.e.
8p sting12 10-03-2012 25 2 Download
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EXISTENCE OF INFINITELY MANY NODAL SOLUTIONS FOR A SUPERLINEAR NEUMANN BOUNDARY VALUE PROBLEM AIXIA QIAN Received 12 January 2005 We study the existence of a class of nonlinear elliptic equation with Neumann boundary condition, and obtain infinitely many nodal solutions. The study of such a problem is based on the variational methods and critical point theory. We prove the conclusion by using the symmetric mountain-pass theorem under the Cerami condition. 1. Introduction Consider the Neumann boundary value problem: − u + αu = f (x,u), ∂u = 0, ∂ν x ∈ Ω, (1.
7p sting12 10-03-2012 45 3 Download
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Variational Method to the Impulsive Equation with Neumann Boundary Conditions
17p sting08 18-02-2012 39 2 Download
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions
11p sting06 16-02-2012 37 4 Download
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Global exponential synchronization of delayed BAM neural networks with reaction-diffusion terms and the Neumann boundary conditions
28p sting06 16-02-2012 40 4 Download
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Multiple Solutions of p-Laplacian with Neumann and Robin Boundary Conditions for Both Resonance and Oscillation Problem
19p sting05 10-02-2012 49 7 Download
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Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học được đăng trên tạp chí toán học quốc tế đề tài: Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions
21p sting03 04-02-2012 47 3 Download
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Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học được đăng trên tạp chí toán học quốc tế đề tài: Global exponential synchronization of delayed BAM neural networks with reaction-diffusion terms and the Neumann boundary conditions
28p dauphong11 04-02-2012 45 6 Download