Results 191 to 200 of about 9,802,344 (402)
On regularity of weak solutions to boundary value problems for quasilinear elliptic differential equations of higher order [PDF]
Manfred Müller, Jindřich Nečas
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Abstract Background Volumetric modulated arc therapy (VMAT) requires an accurate patient‐specific quality assurance (PSQA) program. In clinical practice, this is usually performed using the γ‐index and the two‐dimensional gamma passing rate (2D %GP). A three‐dimensional (3D) index incorporating the patient anatomy could be more useful for the 3D dose ...
Christos Zarros+6 more
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Compartmental models are widely used in mathematical epidemiology to describe the dynamics of infectious diseases or in mathematical models of population genetics.
Roman Taranets+4 more
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Existence of weak solutions of stochastic delay differential systems with Schrödinger-Brownian motions. [PDF]
Sun J, Kou L, Guo G, Zhao G, Wang Y.
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Maximum principles, gradient estimates, and weak solutions for second-order partial differential equations [PDF]
W. I. Bertiger
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Uniqueness of weak solutions of the Plateau flow
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
A review of artificial intelligence in brachytherapy
Abstract Artificial intelligence (AI) has the potential to revolutionize brachytherapy's clinical workflow. This review comprehensively examines the application of AI, focusing on machine learning and deep learning, in various aspects of brachytherapy.
Jingchu Chen+4 more
wiley +1 more source
Non-linear biphasic mixture model: Existence and uniqueness results
This paper is concerned with the development and analysis of a mathematical model that is motivated by interstitial hydrodynamics and tissue deformation mechanics (poro-elasto-hydrodynamics) within an in-vitro solid tumour.
Meraj Alam+2 more
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Uniqueness of semi-concave weak solutions for Hamilton-Jacobi equations [PDF]
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