Results 41 to 50 of about 390,420 (212)
Existence of pseudo-equilibria in a financial economy [PDF]
This paper proves the existence of a pseudo-equilibrium in a financial economy with incomplete markets in which the agents may have nonordered preferences.
Bernard Cornet, Philippe Bich
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The critical case for a semilinear weakly hyperbolic equation
Electronic Journal of Differential Equations, 2004 We prove a global existence result for the Cauchy problem, in the three-dimensional space, associated with the equation $$ u_{tt}-a_lambda(t) Delta_x u=-u|u|^{p(lambda)-1} $$ where $a_lambda(t)ge 0$ and behaves as $(t-t_0)^lambda$ close to some $t_0 ...
Luca Fanelli, Sandra Lucente
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Global existence for the Seiberg–Witten flow [PDF]
Communications in Analysis and Geometry, 2010 We introduce the gradient flow of the Seiberg-Witten functional on a compact, orientable Riemannian 4-manifold and show the global existence of a unique smooth solution to the flow. The flow converges uniquely in $C^\infty$ up to gauge to a critical point of the Seiberg-Witten functional.
Hong, Min-Chun, Schabrun, Lorenz
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The Second Critical Exponent for a Time-Fractional Reaction-Diffusion Equation
MathematicsIn this paper, we consider the Cauchy problem of a time-fractional nonlinear diffusion equation. According to Kaplan’s first eigenvalue method, we first prove the blow-up of the solutions in finite time under some sufficient conditions.
Takefumi Igarashi
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Global Existence for an Isotropic Landau Model
SIAM Journal on Mathematical AnalysisAbstract Following the recent ideas of Guillen and Silvestre, we prove that the Fisher information is non-increasing along the flow of the isotropic Landau equation. We then use this fact to deduce global existence for the equation ∂tf = (−∆)−1f · ∆f + f2 under a relatively lax set of conditions on the initial data. In particular, we remove the
David Bowman, Sehyun Ji
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Open MathematicsWe investigate the two-species chemotaxis predator-prey system given by the following system: ut=Δu−χ∇⋅(u∇w)+u(λ1−μ1ur1−1+av),x∈Ω,t>0,vt=Δv+ξ∇⋅(v∇z)+v(λ2−μ2vr2−1−bu),x∈Ω,t>0,0=Δw−w+v,x∈Ω,t>0,0=Δz−z+u,x∈Ω,t>0,\left\{\begin{array}{ll}{u}_{t}=\Delta u-\chi \
Liu Ling
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MathematicsThe nonlinear wave equation with acoustic and fractional boundary conditions, coupled with logarithmic source and delay terms, is significant for its ability to model complex systems, its contribution to the advancement of mathematical theory, and its ...
Abdelbaki Choucha +4 more
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On Global Well-Posedness and Temporal Decay for 3D Magnetic Induction Equations with Hall Effect
Mathematics, 2020 The main purpose of this paper is to study the global existence and uniqueness of solutions for three-dimensional incompressible magnetic induction equations with Hall effect provided that ∥u0∥H32+ε+∥b0∥H2 ...
Xiaopeng Zhao
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The Global Existence Problem in General Relativity [PDF]
, 2004 We survey some known facts and open questions concerning the global properties of 3+1 dimensional spacetimes containing a compact Cauchy surface. We consider spacetimes with an $\ell$-dimensional Lie algebra of space-like Killing fields. For each $\ell \leq 3$, we give some basic results and conjectures on global existence and cosmic censorship.
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On the global existence of solutions to the Prandtl's system
Advances in Mathematics, 2004 This paper is concerned with the global existence of weak solutions to the initial boundary value problem involving a two-dimensional Prandtl's system, for unsteady boundary layer with initial data, and the pressure gradient satisfying certain conditions.
Xin, Zhouping, Zhang, Liqun
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