Results 11 to 20 of about 14,824,433 (189)
On the well-posedness problem for the derivative nonlinear Schrödinger equation [PDF]
Analysis & PDE, 2021 We consider the derivative nonlinear Schr\"odinger equation in one space dimension, posed both on the line and on the circle. This model is known to be completely integrable and $L^2$-critical with respect to scaling.
R. Killip, Maria Ntekoume, M. Vişan
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Well posedness of second-order impulsive fractional neutral stochastic differential equations
AIMS Mathematics, 2021 In this manuscript, we investigate a class of second-order impulsive fractional neutral stochastic differential equations (IFNSDEs) driven by Poisson jumps in Banach space.
Ramkumar Kasinathan +3 more
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Well‐Posedness in Gevrey Function Space for 3D Prandtl Equations without Structural Assumption [PDF]
Communications on Pure and Applied Mathematics, 2020 We establish the well‐posedness in Gevrey function space with optimal class of regularity 2 for the three‐dimensional Prandtl system without any structural assumption.
Wei-Xi Li, N. Masmoudi, Tong Yang
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Well posedness of magnetohydrodynamic equations in 3D mixed-norm Lebesgue space
Open Mathematics, 2022 In this paper, we introduce a new metric space called the mixed-norm Lebesgue space, which allows its norm decay to zero with different rates as ∣x∣→∞| x| \to \infty in different spatial directions.
Liu Yongfang, Zhu Chaosheng
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On Ill‐ and Well‐Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations [PDF]
Communications on Pure and Applied Mathematics, 2020 We are concerned with the question of well‐posedness of stochastic, three‐dimensional, incompressible Euler equations. In particular, we introduce a novel class of dissipative solutions and show that (i) existence; (ii) weak–strong uniqueness; (iii ...
Martina Hofmanov'a +2 more
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Well-posedness and tamed schemes for McKean-Vlasov Equations with Common Noise [PDF]
The Annals of Applied Probability, 2020 In this paper, we first establish well-posedness of McKean-Vlasov stochastic differential equations (McKean-Vlasov SDEs) with common noise, possibly with coefficients having super-linear growth in the state variable.
C. Kumar +3 more
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Well posedness for one class of elliptic equations with drift
Boundary Value Problems, 2023 We studied one class of second-order elliptic equations with intermediate coefficient and proved that the semi-periodic problem on a strip is unique solvable in Hilbert space.
Kordan N. Ospanov
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Local well-posedness for quasi-linear problems: A primer [PDF]
Bulletin of the American Mathematical Society, 2020 Proving local well-posedness for quasi-linear problems in partial differential equations presents a number of difficulties, some of which are universal and others of which are more problem specific.
M. Ifrim, D. Tataru
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Well-Posedness of Triequilibrium-Like Problems
International Journal of Analysis and Applications, 2022 This work emphasizes in presenting new class of equilibrium-like problems, termed as equilibrium-like problems with trifunction. We establish some metric characterizations for the well-posed triequilibrium-like problems.
Misbah Iram Bloach +2 more
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SIAM Review, 2020 This survey article addresses the class of continuous-time systems where a system modeled by ordinary differential equations is coupled with a static or time-varying set-valued operator in the feed...
B. Brogliato, A. Tanwani
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