Found 52 Documents (Results 1–52)
Characterizations of the mixed central Campanato spaces via the commutator operators of Hardy type. (English) Zbl 07863194
Asymptotic stability of solitary waves of the 3D quadratic Zakharov-Kuznetsov equation. (English) Zbl 1531.35116
Some estimates of multi-sublinear operators and commutators on mixed \(\lambda\)-central Morrey spaces. (English) Zbl 1509.42025
On the Cauchy problems associated to a ZK-KP-type family equations with a transversal fractional dispersion. (English) Zbl 1492.35277
On some regularity properties for the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov equation. (English) Zbl 1486.35099
The boundedness of fractional integral operators in local and global mixed Morrey-type spaces. (English) Zbl 1484.42021
Numerical study of soliton stability, resolution and interactions in the 3D Zakharov-Kuznetsov equation. (English) Zbl 1496.65164
Sharp well-posedness of the Cauchy problem for the rotation-modified Kadomtsev-Petviashvili equation in anisotropic Sobolev spaces. (English) Zbl 1483.35188
Leibniz-type rules for bilinear and biparameter Fourier multiplier operators with applications. (English) Zbl 1471.42028
Well-posedness for a two-dimensional dispersive model arising from capillary-gravity flows. (English) Zbl 1459.35318
On special regularity properties of solutions of the Benjamin-Ono-Zakharov-Kuznetsov (BO-ZK) equation. (English) Zbl 1460.35313
The direct scattering problem for the perturbed \(\mathrm{Gr}(1,2)_{\geq 0}\) Kadomtsev-Petviashvili II solitons. (English) Zbl 1452.35176
The Cauchy problem for the rotation-modified Kadomtsev-Petviashvili type equation. (English) Zbl 1439.35134
The Cauchy problem for a two-dimensional generalized Kadomtsev-Petviashvili-I equation in anisotropic Sobolev spaces. (English) Zbl 1434.35171
Periodic Cauchy problem for one two-dimensional generalization of the Benjamin-Ono equation in Sobolev spaces of low regularity. (English) Zbl 1427.35225
Nondegeneracy, Morse index and orbital stability of the KP-I lump solution. (English) Zbl 1428.35458
The Cauchy problem for higher-order modified Camassa-Holm equations on the circle. (English) Zbl 1422.35145
On the propagation of regularities in solutions of the fifth order Kadomtsev-Petviashvili II equation. (English) Zbl 1416.35085
Weighted fractional Leibniz-type rules for bilinear multiplier operators. (English) Zbl 1418.42024
Potential Anal. 51, No. 1, 71-99 (2019); erratum ibid. 60, No. 2, 917-920 (2024).
The Cauchy problem for a family of two-dimensional fractional Benjamin-Ono equations. (English) Zbl 1411.35238
MSC:
35Q53
Global well-posedness of partially periodic KP-I equation in the energy space and application. (English) Zbl 1404.35106
On special regularity properties of solutions of the Zakharov-Kuznetsov equation. (English) Zbl 1397.35259
The Cauchy problem for the fractional Kadomtsev-Petviashvili equations. (English) Zbl 1420.35320
Reviewer: Catalin Popa (Iaşi)
Quasi-Banach valued inequalities via the helicoidal method. (English) Zbl 1392.42024
Reviewer: Petr Gurka (Praha)
Local well-posedness of KP-I initial value problem on torus in the Besov space. (English) Zbl 1342.35078
On the propagation of regularity of solutions of the Kadomtsev-Petviashvili equation. (English) Zbl 1346.35181
Reviewer: Aleksey Kostenko (Donetsk)
IST versus PDE: a comparative study. (English) Zbl 1331.35306
Guyenne, Philippe (ed.) et al., Hamiltonian partial differential equations and applications. Selected papers based on the presentations at the conference on Hamiltonian PDEs: analysis, computations and applications, Toronto, Canada, January 10–12, 2014. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-2949-8/hbk; 978-1-4939-2950-4/ebook). Fields Institute Communications 75, 383-449 (2015).
MSC:
35Q53
Numerical simulation of Kadomtsev-Petviashvili-Benjamin-Bona-Mahony equations using finite difference method. (English) Zbl 1304.65193
Local regularity and decay estimates of solitary waves for the rotation-modified Kadomtsev-Petviashvili equation. (English) Zbl 1291.35276
Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations. (English) Zbl 1253.35150
Global well-posedness for the KP-II equation on the background of a non-localized solution. (English) Zbl 1279.35079
Ill-posedness results for the (generalized) Benjamin-Ono-Zakharov-Kuznetsov equation. (English) Zbl 1211.35235
Well-posedness for the ZK equation in a cylinder and on the background of a KdV soliton. (English) Zbl 1198.35228
Recent progress on the global well-posedness of the KPI equation. (English) Zbl 1193.35191
Cabrelli, Carlos (ed.) et al., Recent developments in real and harmonic analysis. In honor of Carlos Segovia. Boston, MA: Birkhäuser (ISBN 978-0-8176-4531-1/hbk; 978-0-8176-4588-5/ebook). Applied and Numerical Harmonic Analysis, 173-178 (2010).
On the low regularity of the fifth order Kadomtsev-Petviashvili I equation. (English) Zbl 1170.35032
Reviewer: Boris A. Malomed (Tel Aviv)
Well-posedness of the fifth order Kadomtsev-Petviashvili I equation in anisotropic Sobolev spaces with nonnegative indices. (English) Zbl 1154.35016
Reviewer: Leszek Skrzypczak (Poznań)
MSC:
35G25
Global well-posedness of the KP-I initial-value problem in the energy space. (English) Zbl 1188.35163
Gain of regularity for the KP-I equation. (English) Zbl 1194.35373
Reviewer: Grzegorz Karch (Wrocław)
Comparison of KP and BBM-KP models. (English) Zbl 1143.35354
MSC:
35Q53
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