Well-posedness results and dissipative limit of high dimensional KdV-type equations
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Publication:1691476
DOI10.1007/s00574-017-0034-zzbMath1386.35369OpenAlexW2605270494MaRDI QIDQ1691476
Amin Esfahani, Mahendra Panthee, Xavier Carvajal
Publication date: 16 January 2018
Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00574-017-0034-z
Cauchy problemwell-posednessill-posednessKorteweg-de Vries-Burgers equationanisotropic dissipation-modified Boussinesq-KdV equationdispersive-dissipative equation
Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
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Sharp well-posedness and ill-posedness results for dissipative KdV equations on the real line ⋮ Lipschitz stability of an inverse source problem for ADMB-KdV equation ⋮ Local and global well-posedness for the 2D Zakharov-Kuznetsov-Burgers equation in low regularity Sobolev space
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