Results 1 to 10 of about 4,429,182 (354)
Global boundedness of a class of multilinear Fourier integral operators [PDF]
Forum of Mathematics, Sigma, 2021 We establish the global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on products of $L^p$ spaces by proving endpoint boundedness on suitable product spaces containing combinations of the local ...
Salvador Rodríguez-López +2 more
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Global Boundedness in a Logarithmic Keller–Segel System
Mathematics, 2023 In this paper, we propose a user-friendly integral inequality to study the coupled parabolic chemotaxis system with singular sensitivity under the Neumann boundary condition.
Jinyang Liu +4 more
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A local-to-global boundedness argument and Fourier integral operators [PDF]
Journal of Mathematical Analysis and Applications, 2019 We give a criterion for the global boundedness of integral operators which are known to be locally bounded. As an application, we discuss the global $L^p$-boundedness for a class of Fourier integral operators. While the local $L^p$-boundedness of Fourier integral operators is known from the work of Seeger, Sogge and Stein, not so many results are ...
Michael Ruzhansky, Mitsuru Sugimoto
semanticscholar +8 more sources
Advances in Nonlinear Analysis, 2022 In this article, we will develop an analytical approach to construct the global bounded weak solutions to the initial-boundary value problem of a three-dimensional chemotaxis-Stokes system with porous medium cell diffusion Δnm\Delta {n}^{m} for m≥6563m ...
Tian Yu, Xiang Zhaoyin
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On the parabolic‐elliptic Keller–Segel system with signal‐dependent motilities: A paradigm for global boundedness and steady states [PDF]
Mathematical methods in the applied sciences, 2021 This paper is concerned with a parabolic‐elliptic Keller–Segel system where both diffusive and chemotactic coefficients (motility functions) depend on the chemical signal density.
Zhi‐An Wang
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On the boundedness of globally F-split varieties [PDF]
Mathematische Zeitschrift, 2023 AbstractThis paper proposes the use of F-split and globally F-regular conditions in the pursuit of BAB type results in positive characteristic. The main technical work comes in the form of a detailed study of threefold Mori fibre spaces over positive dimensional bases. As a consequence we prove the main theorem, which reduces birational boundedness for
Liam Stigant
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Global Boundedness for Decorated Sheaves [PDF]
arXiv: Algebraic Geometry, 2004 To appear in the International Mathematics Research Notices. V2: A few typos corrected (notably in the definition of semistability in the introduction); Expanded ...
Schmitt, Alexander H. W.
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Global and local boundedness of Polish groups [PDF]
Indiana University Mathematics Journal, 2012 We present a comprehensive theory of boundedness properties for Polish groups developed with a main focus on Roelcke precompactness (precompactness of the lower uniformity) and Property (OB) (boundedness of all isometric actions on separable metric spaces). In particular, these properties are characterised by the orbit structure of isometric actions on
Christian Rosendal
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Global existence and boundedness for quasi-variational systems [PDF]
International Journal of Mathematics and Mathematical Sciences, 1999 We consider quasi-variational ordinary differential systems, which may be considered as the motion law for holonomic mechanical systems. Even when the potential energy of the system is not bounded from below, by constructing appropriate Liapunov ...
Giancarlo Cantarelli
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On global boundedness of the Chen system
Discrete & Continuous Dynamical Systems - B, 2017 This paper deals with the open problem of the global boundedness of the Chen system based on Lyapunov stability theory, which was proposed by Qin and Chen (2007).
Fuchen Zhang +4 more
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