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On some nonlinear dispersive equations in several space variables

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Publication:1174373
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zbMath0735.35103MaRDI QIDQ1174373

Jerome A. Goldstein, Ryuji Kajikiya, Shinnosuke Oharu

Publication date: 25 June 1992

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

Dirichlet boundary conditionBenjamin-Bona-Mahony equationunique strong solutiondispersive systemslocal existence in time


Mathematics Subject Classification ID

Boundary value problems for nonlinear higher-order PDEs (35G30) PDEs in connection with quantum mechanics (35Q40)


Related Items (6)

Asymptotic behavior and blow-up of solutions for the viscous diffusion equation ⋮ On the Rosenau equation in multidimensional space ⋮ Blow-up of solutions of strongly nonlinear equations of pseudoparabolic type ⋮ The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas ⋮ Blow-up of solutions of nonlinear Sobolev type equations with cubic sources ⋮ On the ``destruction of solutions of nonlinear wave equations of Sobolev type with cubic sources




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