Results 81 to 90 of about 3,320,198 (344)
Oscillation criteria for semilinear elliptic equations with a damping term in R^n
Electronic Journal of Differential Equations, 2010 We use a method based on Picone-type identities to find oscillation conditions for the equation $$ sum_{i j =1}^n frac{partial}{partial x_i} Big( a_{ij}(x) frac{partial}{partial x_j} Big)u + f(x,u, abla u) + c(x) u =0,, $$ with Dirichlet boundary ...
Tadie
doaj
Rellich type theorems for unbounded domains
Inverse Problems and Imaging, 2014 We give several generalizations of Rellich's classical uniqueness theorem to unbounded domains. We give a natural half-space generalization for super-exponentially decaying inhomogeneities using real variable techniques. We also prove under super-exponential decay a discrete generalization where the inhomogeneity only needs to vanish in a suitable cone.
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Asymptotic Behavior of Neural Fields in an Unbounded Domain [PDF]
Differential Equations and Dynamical Systems, 2014 In this paper, we prove the existence of a compact global attractor for the flow generated by equation $$ \frac{\partial u}{\partial t}(x,t)+u(x,t)= \int_{\mathbb{R}^{N}}J(x-y)(f( u(y,t))dy+ h, \quad h > 0, \quad x\in \mathbb{R}^{N}, \quad t\in\mathbb{R}_{+} $$ in the weight space $L^{p}(\mathbb{R}^{N}, ρ)$.
da Silva, Severino Horácio +1 more
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FEBS Open Bio, EarlyView.Activation of the mitochondrial protein OXR1 increases pSyn129 αSynuclein aggregation by lowering ATP levels and altering mitochondrial membrane potential, particularly in response to MSA‐derived fibrils. In contrast, ablation of the ER protein EMC4 enhances autophagic flux and lysosomal clearance, broadly reducing α‐synuclein aggregates.
Sandesh Neupane +11 more
wiley +1 more source
Random dynamics of dispersive-dissipative wave equations driven by nonlinear colored noise
Journal of Inequalities and ApplicationsThis paper is devoted to the asymptotic behavior of solutions to a class of non-autonomous random dispersive-dissipative wave equations driven by nonlinear colored noise defined on unbounded domains.
Wenjun Ma, Qiaozhen Ma
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Abstract and Applied Analysis, 2013 The long time behavior of solutions of the nonautonomous three-components reversible Gray-Scott system defined on the entire space ℝn is studied when the external forcing terms are unbounded in a phase space.
Anhui Gu
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On sublinear elliptic systems on bounded and thin unbounded domains
, 2023 We show the existence of a positive solution to certain weakly coupled elliptic systems of sublinear growth and homogenous Dirichlet boundary conditions.
Cortissoz, Jean C.
core
Advanced Functional Materials, EarlyView.A biomimetic hydrogel derived from neonatal spinal cord ECM (DNSCM) delivers LAMB2 protein and ISP peptide to remodel the inhibitory injury microenvironment. The system sustains drug release, upregulates pro‐regenerative LAMB2, downregulates inhibitory CSPG, and promotes axonal regeneration.
Shiyu Fu +8 more
wiley +1 more source
Oscillation criteria for a class of nonlinear partial differential equations
Electronic Journal of Differential Equations, 2002 This paper presents sufficient conditions on the function $c(x)$ to ensure that every solution of partial differential equation $$ sum_{i=1}^{n}{partial over partial x_i} Phi_{p}({partial u over partial x_i})+B(x,u)=0, quad Phi_p(u):=|u|^{p-1}mathop{ m ...
Robert Marik
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Forced Burgers Equation in an Unbounded Domain
Journal of Statistical Physics, 2003 9 pages, 10 figures, revtex4, J. Stat.
Bec, Jérémie, Khanin, Konstantin
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