Results 151 to 160 of about 634,419 (341)

Nonuniformly elliptic equations: Positivity of weak solutions [PDF]

open access: gold, 1973
Charles V. Coffman   +2 more
openalex   +1 more source

Uniqueness of weak solutions of the Plateau flow

open access: yesCalculus of Variations and Partial Differential Equations
AbstractIn this paper, we study the uniqueness of weak solutions of the heat flow of half-harmonic maps, which was first introduced by Wettstein as a half-Laplacian heat flow and recently studied by Struwe using more classical techniques. On top of its similarity with the two dimensional harmonic map flow, this geometric gradient flow is of interest ...
openaire   +3 more sources

Bone‐wise rigid registration of femur, tibia, and fibula for the tracking of temporal changes

open access: yesJournal of Applied Clinical Medical Physics, EarlyView.
Abstract Background Multiple myeloma (MM) induces temporal alterations in bone structure, such as osteolytic bone lesions, which are challenging to identify through manual image interpretation. The large variation in radiologists' assessments, even at expert centers, further complicates diagnosis.
Arttu Ruohola   +5 more
wiley   +1 more source

Existence of weak solutions to a nonlinear reaction-diffusion system with singular sources

open access: yesElectronic Journal of Differential Equations, 2017
We discuss the existence of a class of weak solutions to a nonlinear parabolic system of reaction-diffusion type endowed with singular production terms by reaction. The singularity is due to a potential occurrence of quenching localized to the domain
Ida de Bonis, Adrian Muntean
doaj  

Uniqueness of semi-concave weak solutions for Hamilton-Jacobi equations [PDF]

open access: yesarXiv
It is well known that when the nonlinearity is convex, the Hamilton-Jacobi PDE admits a unique semi-convex weak solution, which is the viscosity solution. In this paper, motivated by problems arising from spin glasses, we show that if the Hamilton-Jacobi PDE with strictly convex nonlinearity and regular enough initial condition admits a semi-concave ...
arxiv  

Human papillomavirus (HPV) prediction for oropharyngeal cancer based on CT by using off‐the‐shelf features: A dual‐dataset study

open access: yesJournal of Applied Clinical Medical Physics, EarlyView.
Abstract Background This study aims to develop a novel predictive model for determining human papillomavirus (HPV) presence in oropharyngeal cancer using computed tomography (CT). Current image‐based HPV prediction methods are hindered by high computational demands or suboptimal performance.
Junhua Chen   +3 more
wiley   +1 more source

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