scientific article; zbMATH DE number 6761054

zbMath1375.35463MaRDI QIDQ4977406

Kotaro Tsugawa

Publication date: 16 August 2017

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

energy methodCauchy problemwell-posednessnormal formhierarchymodified KdVKdVparabolic smoothingfifth order

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

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Well-posedness and parabolic smoothing effect for higher order Schrödinger type equations with constant coefficients ⋮ Local well-posedness and parabolic smoothing of solutions of fully nonlinear third-order equations on the torus ⋮ Global solutions and stability properties of the 5th order Gardner equation ⋮ Well-posedness of the Cauchy problem for the kinetic DNLS on T ⋮ Local well-posedness for fourth order Benjamin-Ono type equations

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