Results 91 to 100 of about 9,328 (235)
The Well-Posedness of Solutions for a Generalized Shallow Water Wave Equation
Abstract and Applied Analysis, 2012 A nonlinear partial differential equation containing the famous Camassa-Holm and Degasperis-Procesi equations as special cases is investigated. The Kato theorem for abstract differential equations is applied to establish the local well-posedness of ...
Shaoyong Lai, Aiyin Wang
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Resultados de existência para equações elípticas com termos singulares
, 2013 Doutoramento em Matemática e AplicaçõesEsta dissertação estuda em detalhe três problemas elípticos: (I) uma classe de equações que envolve o operador Laplaciano, um termo singular e nãolinearidade com o exponente crítico de Sobolev, (II) uma classe de ...
Murillo, Kelly Patricia
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Uniform boundedness principles for Sobolev maps into manifolds
, 2019 Given a connected Riemannian manifold N, an m-dimensional Riemannian manifold M which is either compact or the Euclidean space, p∈[1,+∞) and s∈(0,1], we establish, for the problems of surjectivity of the trace, of weak-bounded approximation, of lifting ...
Monteil, Antonin, Van Schaftingen, Jean
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Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
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Commuting Toeplitz operators with harmonic symbols on the Fock-Sobolev space
summary:We make a progress towards describing the commuting Toeplitz operators with harmonic symbols on the Fock-Sobolev space. For the certain symbol space, we obtain two Toeplitz operators with harmonic symbols commuting only in the obvious cases ...
Qin, Jie, Liu, Youqi
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Sobolev metrics on shape space of surfaces
, 2010 Geometrische Figuren spielen eine wichtige Rolle in vielen Bereichen der Wissenschaft, Technik und Medizin. Mathematisch kann eine Figur als unparametrisierte, immersive Teil-Mannigfaltigkeit modelliert werden, was auch der dieser Arbeit zugrunde ...
Harms, Philipp
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Phase‐Pole‐Free Images and Smooth Coil Sensitivity Maps by Regularized Nonlinear Inversion
Magnetic Resonance in Medicine, Volume 96, Issue 1, Page 134-145, July 2026.ABSTRACT Purpose Phase singularities are a common problem in image reconstruction with auto‐calibrated sensitivities due to an inherent ambiguity of the estimation problem. The purpose of this work is to develop a method for detecting and correcting phase poles in non‐linear inverse (NLINV) reconstruction of MR images and coil sensitivity maps ...
Moritz Blumenthal, Martin Uecker
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Existence of solutions for quasilinear parabolic equations at resonance
Electronic Journal of Differential Equations, 2013 In this article, we show the existence of nontrivial solutions for a class of quasilinear parabolic differential equations. To obtain the solution in a weighted Sobolev space, we use the Galerkin method, Brouwer's theorem, and a compact Sobolev-type ...
Gao Jia, Xiao-Juan Zhang, Li-Na Huang
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Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
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Finite Element Approximations for a linear Cahn-Hilliard-Cook equation driven by the space derivative of a space-time white noise [PDF]
, 2012 We consider an initial- and Dirichlet boundary- value problem for a linear Cahn-Hilliard-Cook equation, in one space dimension, forced by the space derivative of a space-time white noise.
Zouraris, Georgios, Kossioris, Georgios
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