On the well-posedness of dispersive-dissipative one dimensional equations with non decaying initial data
DOI10.1007/s00605-023-01893-4OpenAlexW4386244945MaRDI QIDQ6191598
Publication date: 9 February 2024
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-023-01893-4
non-decaying initial dataZhidkov spacesunconditional well-posednessBenjamin-Ono-type equationsdissipative limitdispersive-dissipative PDE
KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Traveling wave solutions (35C07) Soliton solutions (35C08) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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