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Found 18,613 Documents (Results 201–300)

Nonlinear Stability for the Superposition of Viscous Contact Wave and Rarefaction Waves to Non-isentropic Compressible Navier-Stokes System with General Initial Perturbations. arXiv:2403.15663

Preprint, arXiv:2403.15663 [math.AP] (2024).
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Discrete Besov spaces via semigroups associated to the discrete Laplacian and regularity of non-local operators. arXiv:2403.09821

Preprint, arXiv:2403.09821 [math.CA] (2024).
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On the Microlocal Regularity of the Gevrey Vectors for second order partial differential operators with non negative characteristic form of first kind. arXiv:2403.08709

Preprint, arXiv:2403.08709 [math.AP] (2024).
MSC:  35H10 35H20 35B65
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Improved regularity and analyticity of Cannone-Karch solutions of the three-dimensional Navier-Stokes equations on the torus. arXiv:2402.01038

Preprint, arXiv:2402.01038 [math.AP] (2024).
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Optimal boundary regularity and a Hopf-type lemma for Dirichlet problems involving the logarithmic Laplacian. arXiv:2401.18033

Preprint, arXiv:2401.18033 [math.AP] (2024).
MSC:  35S15 35B65 35A02
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On the nonlinear stability of shear flows and vortices. (English) Zbl 07823085

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 5. Sections 9–11. Berlin: European Mathematical Society (EMS). 3776-3799 (2023).
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Lower bounds on the Lyapunov exponents of stochastic differential equations. (English) Zbl 07822606

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5618-5654 (2023).
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Stochastic gradient descent: where optimization meets machine learning. (English) Zbl 07822588

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5140-5153 (2023).
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The regularity theory for the area functional (in geometric measure theory). (English) Zbl 07821729

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 872-913 (2023).
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Smoothness of generalized eigenfunctions of differential-difference operators on a finite interval. (English. Russian original) Zbl 07820471

Math. Notes 114, No. 5, 1002-1020 (2023); translation from Mat. Zametki 114, No. 5, 679-701 (2023).
MSC:  34Kxx 93Cxx 47Axx
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An overview of almost minimizers of Bernoulli-type functionals. (English) Zbl 07814304

Mengesha, Tadele (ed.) et al., A\(^3\) N\(^2\) M: approximation, applications, and analysis of nonlocal, nonlinear models. Proceedings of the 50th John H. Barrett memorial lectures, Knoxville, TN, USA, virtual, May 2021. Cham: Springer. IMA Vol. Math. Appl. 165, 295-319 (2023).
MSC:  35R35 35B65 35J20
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A note on estimates of level sets and their role in demonstrating regularity of solutions to nonlocal double-phase equations. (English) Zbl 07814303

Mengesha, Tadele (ed.) et al., A\(^3\) N\(^2\) M: approximation, applications, and analysis of nonlocal, nonlinear models. Proceedings of the 50th John H. Barrett memorial lectures, Knoxville, TN, USA, virtual, May 2021. Cham: Springer. IMA Vol. Math. Appl. 165, 253-293 (2023).
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Regularity estimates and open problems in kinetic equations. (English) Zbl 07814299

Mengesha, Tadele (ed.) et al., A\(^3\) N\(^2\) M: approximation, applications, and analysis of nonlocal, nonlinear models. Proceedings of the 50th John H. Barrett memorial lectures, Knoxville, TN, USA, virtual, May 2021. Cham: Springer. IMA Vol. Math. Appl. 165, 101-148 (2023).
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Fractional elliptic problems on Lipschitz domains: regularity and approximation. (English) Zbl 07814298

Mengesha, Tadele (ed.) et al., A\(^3\) N\(^2\) M: approximation, applications, and analysis of nonlocal, nonlinear models. Proceedings of the 50th John H. Barrett memorial lectures, Knoxville, TN, USA, virtual, May 2021. Cham: Springer. IMA Vol. Math. Appl. 165, 27-99 (2023).
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