Results 61 to 70 of about 3,278,971 (302)
Unique Continuation Properties for One Dimensional Higher Order Schrödinger Equations [PDF]
Journal of Geometric Analysis, 2019 We study two types of unique continuation properties for the higher order Schrödinger equation with potential The first one says if u has certain exponential decay at two times, then u≡0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage ...
Tianxiao Huang, Shanlin Huang, Q. Zheng
semanticscholar +1 more source
Unique Continuation for fast diffusion
Tsukuba Journal of Mathematics, 2003 This paper deals with the non-characteristic Cauchy problem for the equation \[ |u|^{\alpha}u_t=\triangle u+\gamma|u|^{-\beta}u,\tag{1} \] whose lower order term contains the sublinear case. Here it is supposed that \(\frac{1}{2}
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Sets of Unique Continuation for Heat Equation [PDF]
Potential Analysis, 2014 We study nodal lines of solutions to the heat equations. We are interested in the global geometry of nodal sets, in the whole domain of definition of the solution. The local structure of nodal sets is a well understander subject, while the global geometry of nodal lines is much less clear.
Nadirashvili, Nikolai +1 more
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The Role of “Adult‐Onset” Cancer Predisposition Genes in Pediatric Cancer: A Comprehensive Review
Pediatric Blood &Cancer, EarlyView.ABSTRACT Current literature estimates that 10% of pediatric cancers are caused by pathogenic or likely pathogenic (P/LP) germline variants in cancer predisposition genes (CPGs). Variants in CPGs thought to increase cancer risk exclusively during adulthood are referred to as “adult‐onset” CPGs (aoCPGs).
Maria Rozo +5 more
wiley +1 more source
Strong Unique Continuation for Solutions of a p(x)-Laplacian Problem
International Journal of Mathematics and Mathematical Sciences, 2012 We study the strong unique continuation property for solutions to the quasilinear elliptic equation -div(|∇u|p(x)-2∇u)+V(x)|u|p(x)-2u=0 in Ω where V(x)∈LN/p(x)(Ω), Ω is a smooth bounded domain in ℝN, and ...
Johnny Cuadro, Gabriel López
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Pharmacy, 2023 Pulmonary arterial hypertension is a rare and progressive disease with significant morbidity and mortality risk. Several medications targeting three major disease pathways are approved for treatment.
Elizabeth M. Foster +2 more
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𝑑-plane transform: Unique and non-unique continuation
Proceedings of the American Mathematical SocietyThe d d -plane transform maps functions to their integrals over
Agrawal, Divyansh, Singhal, Nisha
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background An earlier study on children diagnosed with acute lymphoblastic leukemia (ALL) at Moi Teaching and Referral Hospital (MTRH) in Kenya reported a low event‐free survival (EFS), excess treatment abandonment, and high induction mortality.
Gilbert Olbara +7 more
wiley +1 more source
A uniqueness result for ordinary differential equations with singular coefficients
Electronic Journal of Differential Equations, 2009 We consider the uniqueness of solutions of ordinary differential equations where the coefficients may have singularities. We derive upper bounds on the order of singularities of the coefficients and provide examples to illustrate the results.
Yifei Pan, Mei Wang
doaj
On the unique continuation property for a nonlinear dispersive system
Electronic Journal of Qualitative Theory of Differential Equations, 2005 We solve the following problem: If $(u,\,v)=(u(x,\,t),\,v(x,\,t))$ is a solution of the Dispersive Coupled System with $t_{1}
A. Kozakevicius +1 more
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