Low regularity solutions to the stochastic geometric wave equation driven by a fractional Brownian sheet

Comptes Rendus. Mathématique ◽

10.5802/crmath.38 ◽

2020 ◽

Vol 358 (6) ◽

pp. 633-639

Author(s):

Zdzisław Brzeźniak ◽

Nimit Rana

Keyword(s):

Wave Equation ◽

Brownian Sheet ◽

Fractional Brownian Sheet ◽

Low Regularity ◽

Low Regularity Solutions

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The 1-d stochastic wave equation driven by a fractional Brownian sheet

Stochastic Processes and their Applications ◽

10.1016/j.spa.2007.01.009 ◽

2007 ◽

Vol 117 (10) ◽

pp. 1448-1472 ◽

Author(s):

Lluís Quer-Sardanyons ◽

Samy Tindel

Keyword(s):

Wave Equation ◽

Brownian Sheet ◽

Fractional Brownian Sheet ◽

Stochastic Wave Equation

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Low regularity solutions to a gently stochastic nonlinear wave equation in nonequilibrium statistical mechanics

Stochastic Processes and their Applications ◽

10.1016/j.spa.2005.02.003 ◽

2005 ◽

Vol 115 (6) ◽

pp. 1041-1059 ◽

Author(s):

Luc Rey-Bellet ◽

Lawrence E. Thomas

Keyword(s):

Wave Equation ◽

Statistical Mechanics ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Nonequilibrium Statistical Mechanics ◽

Low Regularity ◽

Low Regularity Solutions

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On the low regularity solutions and wave breaking for an equation modeling shallow water waves of moderate amplitude

Nonlinear Analysis ◽

10.1016/j.na.2014.04.021 ◽

2014 ◽

Vol 107 ◽

pp. 1-11 ◽

Author(s):

Xingxing Liu ◽

Jingjing Liu

Keyword(s):

Shallow Water ◽

Water Waves ◽

Wave Breaking ◽

Equation Modeling ◽

Shallow Water Waves ◽

Low Regularity ◽

Low Regularity Solutions

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Low regularity solutions of the Chern–Simons–Higgs equations

Nonlinearity ◽

10.1088/0951-7715/18/6/009 ◽

2005 ◽

Vol 18 (6) ◽

pp. 2581-2589 ◽

Author(s):

Hyungjin Huh

Keyword(s):

Low Regularity ◽

Low Regularity Solutions ◽

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Global existence of low regularity solutions of non-linear wave equations

Mathematische Zeitschrift ◽

10.1007/bf02572346 ◽

1995 ◽

Vol 219 (1) ◽

pp. 1-19 ◽

Author(s):

Vladimir Georgiev ◽

Pedro Paulo Schirmer

Keyword(s):

Global Existence ◽

Wave Equations ◽

Linear Wave ◽

Low Regularity ◽

Low Regularity Solutions ◽

Linear Wave Equations

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The Hausdorff Dimension of the Level Sets for a Fractional Brownian Sheet

Stochastic Analysis and Applications ◽

10.1081/sap-200029491 ◽

2004 ◽

Vol 22 (6) ◽

pp. 1511-1523

Author(s):

Rongmao Zhang ◽

Zhengyan Lin

Keyword(s):

Hausdorff Dimension ◽

Brownian Sheet ◽

Fractional Brownian Sheet

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Wavelet-based estimations of fractional Brownian sheet: Least squares versus maximum likelihood

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112609 ◽

2020 ◽

Vol 371 ◽

pp. 112609 ◽

Author(s):

Liang Wu ◽

Yiming Ding

Keyword(s):

Maximum Likelihood ◽

Least Squares ◽

Brownian Sheet ◽

Fractional Brownian Sheet

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Weak convergence to the fractional Brownian sheet in Besov spaces

Bulletin of the Brazilian Mathematical Society New Series ◽

10.1007/s00574-003-0020-5 ◽

2003 ◽

Vol 34 (3) ◽

pp. 389-400 ◽

Author(s):

Ciprian A. Tudor

Keyword(s):

Weak Convergence ◽

Besov Spaces ◽

Brownian Sheet ◽

Fractional Brownian Sheet

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On a semilinear mixed fractional heat equation driven by fractional Brownian sheet

Boundary Value Problems ◽

10.1186/s13661-016-0736-y ◽

2017 ◽

Vol 2017 (1) ◽

Author(s):

Dengfeng Xia ◽

Litan Yan

Keyword(s):

Heat Equation ◽

Brownian Sheet ◽

Fractional Brownian Sheet ◽

Fractional Heat Equation

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Low-regularity solutions of the periodic Fornberg–Whitham equation

Journal of Mathematical Physics ◽

10.1063/1.3158852 ◽

2009 ◽

Vol 50 (7) ◽

pp. 073507 ◽

Author(s):

Lixin Tian ◽

Yuexia Chen ◽

Xiuping Jiang ◽

Limeng Xia

Keyword(s):

Low Regularity ◽

Low Regularity Solutions ◽

Whitham Equation

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