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Local wellposedness in low regularity of the MKDV equation with periodic boundary condition
1.  Department of Mathematics, Kyoto University, Kyoto 6068502, Japan, Japan 
2.  Department of Mathematics, Hokkaido University, Sapporo 0600810, Japan 
[1] 
Xavier Carvajal, Liliana Esquivel, Raphael Santos. On local wellposedness and illposedness results for a coupled system of mkdv type equations. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020382 
[2] 
Noufel Frikha, Valentin Konakov, Stéphane Menozzi. Wellposedness of some nonlinear stable driven SDEs. Discrete & Continuous Dynamical Systems  A, 2021, 41 (2) : 849898. doi: 10.3934/dcds.2020302 
[3] 
Antoine Benoit. Weak wellposedness of hyperbolic boundary value problems in a strip: when instabilities do not reflect the geometry. Communications on Pure & Applied Analysis, 2020, 19 (12) : 54755486. doi: 10.3934/cpaa.2020248 
[4] 
Kihoon Seong. Low regularity a priori estimates for the fourth order cubic nonlinear Schrödinger equation. Communications on Pure & Applied Analysis, 2020, 19 (12) : 54375473. doi: 10.3934/cpaa.2020247 
[5] 
Thierry Cazenave, Ivan Naumkin. Local smooth solutions of the nonlinear Kleingordon equation. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020448 
[6] 
Leilei Wei, Yinnian He. A fully discrete local discontinuous Galerkin method with the generalized numerical flux to solve the tempered fractional reactiondiffusion equation. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020319 
[7] 
Sihem Guerarra. Maximum and minimum ranks and inertias of the Hermitian parts of the least rank solution of the matrix equation AXB = C. Numerical Algebra, Control & Optimization, 2021, 11 (1) : 7586. doi: 10.3934/naco.2020016 
[8] 
Oussama Landoulsi. Construction of a solitary wave solution of the nonlinear focusing schrödinger equation outside a strictly convex obstacle in the $ L^2 $supercritical case. Discrete & Continuous Dynamical Systems  A, 2021, 41 (2) : 701746. doi: 10.3934/dcds.2020298 
[9] 
Qiao Liu. Local rigidity of certain solvable group actions on tori. Discrete & Continuous Dynamical Systems  A, 2021, 41 (2) : 553567. doi: 10.3934/dcds.2020269 
[10] 
Tian Ma, Shouhong Wang. Topological phase transition III: Solar surface eruptions and sunspots. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020350 
[11] 
Helmut Abels, Andreas Marquardt. On a linearized MullinsSekerka/Stokes system for twophase flows. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020467 
[12] 
Helmut Abels, Johannes Kampmann. Existence of weak solutions for a sharp interface model for phase separation on biological membranes. Discrete & Continuous Dynamical Systems  S, 2021, 14 (1) : 331351. doi: 10.3934/dcdss.2020325 
[13] 
Mengni Li. Global regularity for a class of MongeAmpère type equations with nonzero boundary conditions. Communications on Pure & Applied Analysis, 2021, 20 (1) : 301317. doi: 10.3934/cpaa.2020267 
[14] 
Yi An, Bo Li, Lei Wang, Chao Zhang, Xiaoli Zhou. Calibration of a 3D laser rangefinder and a camera based on optimization solution. Journal of Industrial & Management Optimization, 2021, 17 (1) : 427445. doi: 10.3934/jimo.2019119 
[15] 
Maoding Zhen, Binlin Zhang, Vicenţiu D. Rădulescu. Normalized solutions for nonlinear coupled fractional systems: Low and high perturbations in the attractive case. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020379 
[16] 
Zhilei Liang, Jiangyu Shuai. Existence of strong solution for the Cauchy problem of fully compressible NavierStokes equations in two dimensions. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020348 
[17] 
Thabet Abdeljawad, Mohammad Esmael Samei. Applying quantum calculus for the existence of solution of $ q $integrodifferential equations with three criteria. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020440 
[18] 
HaiFeng Huo, ShiKe Hu, Hong Xiang. Traveling wave solution for a diffusion SEIR epidemic model with selfprotection and treatment. Electronic Research Archive, , () : . doi: 10.3934/era.2020118 
[19] 
Youming Guo, Tingting Li. Optimal control strategies for an online game addiction model with low and high risk exposure. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020347 
[20] 
YiLong Luo, Yangjun Ma. Low Mach number limit for the compressible inertial QianSheng model of liquid crystals: Convergence for classical solutions. Discrete & Continuous Dynamical Systems  A, 2021, 41 (2) : 921966. doi: 10.3934/dcds.2020304 
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