On the solutions of the Dullin-Gottwald-Holm equation in Besov spaces
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Publication:1926228
DOI10.1016/j.nonrwa.2012.03.004zbMath1253.35129OpenAlexW2010591092MaRDI QIDQ1926228
Publication date: 28 December 2012
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2012.03.004
blow-uplower semicontinuityBesov spacesglobal solutionslocal well-posednessDullin-Gottwald-Holm equationsharp estimate from below
PDEs in connection with fluid mechanics (35Q35) Blow-up in context of PDEs (35B44) Soliton solutions (35C08) Besov spaces and (Q_p)-spaces (30H25)
Related Items (8)
Classification of bounded travelling wave solutions for the Dullin-Gottwald-Holm equation ⋮ The Cauchy problem for a generalized Dullin–Gottwald–Holm equation in Besov spaces ⋮ Various Exact Soliton Solutions and Bifurcations of a Generalized Dullin–Gottwald–Holm Equation with a Power Law Nonlinearity ⋮ EXACT TRAVELING WAVE SOLUTIONS AND BIFURCATIONS FOR THE DULLIN-GOTTWALD-HOLM EQUATION ⋮ Blow-up of solutions to a modified two-component Dullin-Gottwald-Holm system ⋮ Blow-up phenomena and global existence for the periodic two-component Dullin-Gottwald-Holm system ⋮ Local-in-space blow-up and symmetry of traveling wave solutions to a generalized two-component Dullin-Gottwald-Holm system ⋮ The dependences on initial data for the b-family equation in critical Besov space
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