Results 61 to 70 of about 742,712 (288)

Asymptotic behavior of solutions of second order parabolic partial differential equations with unbounded coefficients [PDF]

, 1980
Classical solutions of a second order parabolic partial differential equation are considered in unbounded domains. The coefficients are allowed to have unbounded growth as the space variables tend to infinity.
Cosner, Chris
core   +1 more source

A Perspective on the Applications of Triphasic Gas Storage in Electrochemical Systems

Advanced Science, EarlyView.
Gas storage in microporous materials positioned locally at an electrode or electrocatalyst surface enhances electrochemical processes. Abstract Microporous materials store gases under dry conditions (e.g., hydrogen or oxygen via physisorption), but in some cases microporous materials also show triphasic (e.g., in a solid|gas|liquid system) gas storage ...
Zhongkai Li, Corin T. Scott, Taku Suzuki‐Osborne, John P. Lowe, Dominic Taylor, Mariolino Carta, Neil B. McKeown, Andrew D. Burrows, Lucia H. Mascaro, Frank Marken   +9 more
wiley   +1 more source

Remarks on the Phragmen-Lindelof theorem for Lp-viscosity solutions of fully nonlinear PDEs with unbounded ingredients

Electronic Journal of Differential Equations, 2009
The Phragmen-Lindelof theorem for Lp-viscosity solutions of fully nonlinear second order elliptic partial differential equations with unbounded coefficients and inhomogeneous terms is established.
Kazushige Nakagawa, Shigeaki Koike
doaj  

Hypercontractivity, supercontractivity, ultraboundedness and stability in semilinear problems

Advances in Nonlinear Analysis, 2017
We study the Cauchy problem associated to a family of nonautonomous semilinear equations in the space of bounded and continuous functions over ℝd{\mathbb{R}^{d}} and in Lp{L^{p}}-spaces with respect to tight evolution systems of measures.
Addona Davide, Angiuli Luciana, Lorenzi Luca   +2 more
doaj   +1 more source

Stochastic Optimal Growth with Bounded or Unbounded Utility and with Bounded or Unbounded Shocks [PDF]

This paper studies a one-sector stochastic optimal growth model with i.i.d. productivity shocks in which utility is allowed to be bounded or unbounded, the shocks are allowed to be bounded or unbounded, and the production function is not required to ...
Takashi Kamihigashi
core  

Single‐Cell Dissection of Therapy‐Induced Remodeling Uncovers a Fibroblast‐Driven Immunosuppressive Niche and Targetable Vulnerabilities in Lethal Prostate Cancer

Advanced Science, EarlyView.
Single‐cell longitudinal profiling reveals that androgen‐deprivation therapy induces a DPT+ fibroblast‐complement axis that suppresses macrophage inflammation and drives CD8+ T cell exhaustion in prostate cancer. Concurrently, resistant epithelial subpopulations persist and engage TSPAN1‐ and NRXN1‐mediated programs promoting CRPC and neuroendocrine ...
Yang Chen, Dandan Dong, Jinling Liao, Naikai Liao, Mengqi Liu, Qin Zhang, Siting Chen, Qi Liu, Ying Lu, Tianyu Li, Chunlin Zou, Qiong Song, Qiuyan Wang, Jian Liang, Qiji Xie, Chengyang Li, Mengyun Wang, Jiwen Cheng, Zengnan Mo, Gong‐Hong Wei   +19 more
wiley   +1 more source

On Attainability of Optimal Solutions for Linear Elliptic Equations with Unbounded Coefficients

Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2011
We study an optimal boundary control problem (OCP) associated to a linear elliptic equation —div (Vj/ + A(x)Vy) = f describing diffusion in a turbulent flow. The characteristic feature of this equation is the fact that, in applications, the stream matrix
P. I. Kogut, O. P. Kupenko
doaj   +1 more source

Stochastic partial differential equations with unbounded and degenerate coefficients [PDF]

, 2011
In this article, using DiPerna–Lions theory (DiPerna and Lions, 1989) [1], we investigate linear second order stochastic partial differential equations with unbounded and degenerate non-smooth coefficients, and obtain several conditions for existence and
Xicheng Zhang, Zhang, Xicheng
core   +1 more source

Atomic Defects in Layered Transition Metal Dichalcogenides for Sustainable Energy Storage and the Intelligent Trends in Data Analytics

Advanced Science, EarlyView.
This review comprehensively summarizes the atomic defects in TMDs for their applications in sustainable energy storage devices, along with the latest progress in ML methodologies for high‐throughput TEM data analysis, offering insights on how ML‐empowered microscopy facilitates bridging structure–property correlation and inspires knowledge for precise ...
Zheng Luo, Ying Yang, Zizhen Fu, Fengqi Liu, Susu Fang, Kele Xu, Shanshan Wang   +6 more
wiley   +1 more source

Conditions for maximal regularity of solutions to fourth-order differential equations

Қарағанды университетінің хабаршысы. Математика сериясы
This article investigates a fourth-order differential equation defined in a Hilbert space, with an unbounded intermediate coefficient and potential. The key distinction from previous research lies in the fact that the intermediate term of the equation ...
Ye.O. Moldagali, K.N. Ospanov
doaj   +1 more source