Results 101 to 110 of about 4,637,247 (289)
Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1783-1842, September 2025.Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
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Nonlocal Mixed Systems With Neumann Boundary Conditions
Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12632-12643, September 2025.ABSTRACT We prove well posedness and stability in L1$$ {\mathbf{L}}^1 $$ for a class of mixed hyperbolic–parabolic nonlinear and nonlocal equations in a bounded domain with no flow along the boundary. While the treatment of boundary conditions for the hyperbolic equation is standard, the extension to L1$$ {\mathbf{L}}^1 $$ of classical ...
Rinaldo M. Colombo +2 more
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A characterization of analytic operations in real Banach spaces [PDF]
, 1953 Jaroslav Kurzweil
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On regularization in Banach spaces
Arkiv för Matematik, 1996 The aim of the paper is to extend to Banach spaces previous results on regularization given in \textit{J. M. Lasry} and \textit{P. L. Lions} [Isr. J. Math. 55, 257-266 (1986; Zbl 0631.49018)]. The author proves that it is possible to associate to any bounded below lower semicontinuous (l.s.c.) proper function \(f\), defined in a Banach space, a family ...
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 11592-11619, August 2025.ABSTRACT We consider evolution (nonstationary) space‐periodic solutions to the n$$ n $$‐dimensional nonlinear Navier–Stokes equations of anisotropic fluids with the viscosity coefficient tensor variable in space and time and satisfying the relaxed ellipticity condition.
Sergey E. Mikhailov
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Representations of a semisimple Lie group on a Banach space. I [PDF]
, 1953 Harish-chandra Harish-Chandra
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Criteria for Banach spaces [PDF]
Pacific Journal of Mathematics, 1972 Valentine, J. E., Wayment, S. G.
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Numerical Linear Algebra with Applications, Volume 32, Issue 4, August 2025.ABSTRACT We propose an algorithm to solve optimization problems constrained by ordinary or partial differential equations under uncertainty, with additional almost sure inequality constraints on the state variable. To alleviate the computational burden of high‐dimensional random variables, we approximate all random fields by the tensor‐train (TT ...
Harbir Antil +2 more
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Abstract and Applied Analysis, 2013 We characterize the boundedness and compactness of differences of the composition operators followed by differentiation between weighted Banach spaces of holomorphic functions in the unit disk.
Cui Chen, Ren-Yu Chen, Ze-Hua Zhou
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