On the existence of solutions to the equation
Webhas local existence of bounded curvature solutions to Einstein equations if the curvature is bounded initially. However, that does not imply existence in wave coordinates. We in fact show that one does not in general have local existence in H2 for Einstein equations in wave coordinates: Theorem 1.1. For any ">0, there is a domain of dependence Dand Web12 de mai. de 2009 · Mathematical proofs are presented concerning the existence of solutions of the Maxwell equations with suitable boundary conditions. In particular it is …
On the existence of solutions to the equation
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WebThis paper concerns the existence of steady solutions to the Navier-Stokes equations in a bounded domain. The condition of solenoidality for the velocity field imposes a necessary … Web18 de mai. de 2024 · We are concerned with the estimate, existence and nonexistence of positive solutions of the equation, in particular, the equation with Dirichlet boundary …
Web1 de dez. de 2024 · In this article, our purpose is to study the existence and uniqueness of a solution to a damped variable order fractional subdiffusion equation with time delay. Under weak assumptions on the data, we prove the uniqueness of a weak solution to the problem under consideration. The method of semi-discretization is extended to this kind … Web1 de jan. de 2024 · Download Citation On the Existence and Uniqueness of a Positive Solution to a Boundary Value Problem for One Nonlinear Functional - Differential Equation of Even Order In this article, we ...
WebExistence of Solutions of Stochastic Difierential Equations related to the Bessel process. G. Deelstra F. Delbaen Vrije Universiteit Brussel Departement Wiskunde Pleinlaan 2 B-1050 Brussel Belgium Abstract For applications in flnance, we study the stochastic difierential equa-tion dX s =(2flX s+ – s)ds+ g(X s)dB s with flnegative, ga ...
WebP cannot blow-up in finite backwards time. Since PBRBTP is by definition a positive semi-definite form, we have that − ˙P ≤ ATP + PA + Q which implies that in backwards time, the growth of P cannot exceed that of the linear equation − ˙P = ATP + PA + Q. Since the latter cannot blow-up in finite time, the same is true for the original ...
WebIn this paper we study the existence of positive solutions of semilinear elliptic equations. Various possible behaviors of nonlinearity are considered, and in each case nearly optimal multiplicity results are obtained. The results are also interpreted in terms of bifurcation diagrams. how do you grow hemp seedsWeb28 de mai. de 2024 · In this paper, we study the existence and uniqueness of the solution for a coupled system of mixed fractional differential equations. The main results are established with the aid of “Mönch’s fixed point theorem.” In addition, an applied example that supports the theoretical results … how do you grow green onionsWebAbstract First, the existence conditions on the solutions to the algebraic Riccati equation are reviewed. Then, a strict proof is presented for a necessary and sufficient condition on the existence of a unique optimal positive definite solution to this equation. By using this condition, some untrue results on the design of robust decentralized controllers are … how do you grow hair fastWebDOI: 10.1007/BF00276727 Corpus ID: 121530205; On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity @article{Dafermos1968OnTE, title={On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity}, author={Constantine M. … phonak online portalWeb24 de dez. de 2024 · How to prove that this equation has unique solution in $[a,b]$ if it has a solution? ordinary-differential-equations; analysis; Share. Cite. Follow edited Dec 24, 2024 at 13:19. amWhy. 1 ... Question about the uniqueness and existence of solution to a second order linear differntial equation. how do you grow in the propheticWeb16 de fev. de 2024 · This paper is concerned with the existence of solutions for a class of elliptic equations on the unit ball with zero Dirichlet boundary condition. The nonlinearity … how do you grow hibiscus plantsWebThis paper concerns the existence of steady solutions to the Navier-Stokes equations in a bounded domain. The condition of solenoidality for the velocity field imposes a necessary condition on the boundary data. For a certain class of symmetrical domains, the authors show that this necessary condition implies the existence of a solution to the problem. … phonak official site