Results 71 to 80 of about 1,121,600 (292)
MathematicsThis paper investigates a class of third-order partial differential equations with an unbounded lower-order coefficient in the Hilbert space L2(R2). The study is motivated by the wide use of third-order equations, particularly of Korteweg–de Vries type ...
Sabit Igissinov +4 more
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Numerical Simulation of Feller’s Diffusion Equation
Mathematics, 2019 This article is devoted to Feller’s diffusion equation, which arises naturally in probability and physics (e.g., wave turbulence theory). If discretized naively, this equation may represent serious numerical difficulties since the diffusion ...
Denys Dutykh
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An anisotropic Dirichlet system including unbounded coefficients
Discrete and Continuous Dynamical Systems - SThis paper focuses on an anisotropic system driven by (p, q)- Laplacian operators with unbounded coefficients depending on the solution, and whose lower order-terms exhibit full dependence on the solution and its gradient. The main results establish the existence of solutions and the uniform boundedness of the solution set.
Dumitru Motreanu +2 more
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Nondivergence elliptic equations with unbounded coefficients
Discrete and Continuous Dynamical Systems - B, 2009 We study the nonvariational equation $ \sum_{i,j=1}^n a_{ij}(x)\,\frac{\partial^2 u}{\partial x_i\,\partial x_j}=f$ in domains of $r^n$. We assume that the coefficients $a_{ij}$ are in $BMO$ and the equation is elliptic, but not uniformly, and consider $f$ in $L^2(r^n)$, or even in the Zygmund class $L^2\log^\alpha L(r^n)$.
GRECO, LUIGI +2 more
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Advanced Science, EarlyView.Our research unveiled a regulatory paradigm wherein TRIM25 orchestrates the ubiquitin‐mediated degradation of UGDH. UGDH modulates the protein stability of TJP1 by regulating O‐GlcNAcylation levels, effectively impeding the metastasis of ccRCC. Our insights elevate UGDH to a pivotal biomarker and tumor suppressor, marking the first demonstration that ...
Xiaolin Chen +13 more
wiley +1 more source
, 2008 The component integration of a class of hypersonic high-lift configurations known as waveriders into hypersonic cruise vehicles was evaluated. A wind-tunnel model was developed which integrates realistic vehicle components with two waverider shapes ...
Cn Yawing Moment Coefficient
core
Advanced Science, EarlyView.ABSTRACT Infected diabetic wounds are sustained by a vicious cycle of hyperglycemia‐driven bacterial infection, persistent oxidative stress, and excessive inflammation, which collectively disrupt the ordered progression of tissue repair. Here, we engineered a stage‐adaptive Janus microneedle patch (MN‐FeSAC‐PPE) to enable a staged therapeutic process ...
Mengting Yin +13 more
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Existence and Multiplicity of Positive Solutions for Dirichlet Problems in Unbounded Domains
Abstract and Applied Analysis, 2007 We consider the elliptic problem −Δu+u=b(x)|u|p−2u+h(x) in Ω, u∈H01(Ω), where ...
Tsung-Fang Wu
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Elliptic Operators on Rd with Unbounded Coefficients
Journal of Differential Equations, 2001 { u t (t, x)= 1 2 tr[C(x) Du(t, x)]+(F(x), Du(t, x)) , (1.2) u(0, x)=,(x). If the coefficients C and F are continuous and bounded and C is nondegenerate then a satisfactory theory of both equations is available; see [18], [15]. The situation changes dramatically when the coefficients F and C are unbounded.
Da Prato, Giuseppe, Goldys, Beniamin
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Advanced Science, EarlyView.A highly sensitive SERS‐based platform measures PD‐L1 expression on EpCAM+ circulating EVs from cancer patients undergoing immunotherapy. Monitoring dynamic changes after treatment reveals that reduced EpCAM+ EV PD‐L1 levels associate with improved long‐term clinical outcomes, establishing a non‐invasive approach for tracking immune checkpoint ...
Byeonggeol Mun +15 more
wiley +1 more source