Results 71 to 80 of about 3,278,971 (302)
Unique continuation for stochastic heat equations [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2014 We establish a unique continuation property for stochastic heat equations evolving in a bounded domain $G$. Our result shows that the value of the solution can be determined uniquely by means of its value on an arbitrary open subdomain of $G$ at any given positive time constant.
Lü, Qi, Yin, Zhongqi
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Acute lymphoblastic leukaemia (ALL) is one of the most treatable forms of paediatric cancer; however, there is a substantial burden of treatment‐related toxicities (TRTs). In addition, the long‐term changes in children's health‐related quality of life (HRQoL) due to toxic treatments are not well understood.
Clare Ghows +19 more
wiley +1 more source
A unique continuation property for linear elliptic systems and nonresonance problems
Electronic Journal of Differential Equations, 2001 The aim of this paper is to study the existence of solutions for a quasilinear elliptic system where the nonlinear term is a Caratheodory function on a bounded domain of $mathbb{R}^N$, by proving the well known unique continuation property for elliptic ...
A. Anane +3 more
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Hardy type unique continuation properties for abstract Schrödinger equations and applications
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this paper, Hardy's uncertainty principle and unique continuation properties of Schrödinger equations with operator potentials in Hilbert space-valued $L^{2}$ classes are obtained.
Veli Shakhmurov
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On the spectral theory for first-order systems without the unique continuation property [PDF]
Linear and multilinear algebra, 2019 We consider the differential equation on the real interval when J is a constant, invertible skew-Hermitian matrix and q and w are matrices whose entries are distributions of order zero with q Hermitian and w non-negative. In this situation, it may happen
K. Campbell, M. Nguyen, R. Weikard
semanticscholar +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Neuroblastoma's complex, heterogeneous biology poses significant diagnostic and therapeutic challenges, often requiring caregivers to absorb complex information and participate in time‐sensitive decisions. However, caregivers often feel unprepared to evaluate options.
Vickie Buenger +8 more
wiley +1 more source
Generic Uniqueness and Continuity of Rationalizable Strategies [PDF]
SSRN Electronic Journal, 2005 For a finite set of actions and a rich set of fundamentals, consider the rationalizable actions on a universal type space, endowed with the usual product topology. (1) Generically, there exists a unique rationalizable action profile. (2) Every model can be approximately embedded in a dominance-solvable model.
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Impact of Metastatic Patterns on Survival and Response to Therapy in Neuroblastoma
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background While the presence of metastases in neuroblastoma (NB) is a well‐established prognostic factor, the clinical significance of dissemination patterns and tumour burden and their impact on response and survival remains poorly understood.
Mariona Morell‐Daniel +15 more
wiley +1 more source
Lecture notes on quantitative unique continuation for solutions of second order elliptic equations [PDF]
IAS/Park City Mathematics Series, 2019 In these lectures we present some useful techniques to study quantitative properties of solutions of elliptic PDEs. Our aim is to outline a proof of a recent result on propagation of smallness.
A. Logunov, E. Malinnikova
semanticscholar +1 more source
On the problem of unique continuation for the -Laplace equation [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2014 We study if two different solutions of the $p$-Laplace equation $$\nabla\cdot(|\nabla u|^{p-2}\nabla u)=0,$$ where ...
Granlund, Seppo, Marola, Niko
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