Published

1997-01-01

Regularizing effects for the linearized Kadomtsev-Petviashvili (KP) equation

Keywords:


Kadomtsev-Petviashvili equation, smoothing effects, dispersive equations (es)

Authors

  • Pedro Isaza Universidad Nacional de Colombia, Medellín
  • Jorge Mejía Universidad Nacional de Colombia. Medellín
  • Volker Stallbohm Universidad Nacional de Colombia, Medellín

 In this article we obtain estimates of Strichartz type, of maximal type, and of local type for the linearized KPI and KPII equations. These estimates show the gain of regularity of the solutions of these equations and are obtained by a detailed analysis of the oscillatory integrals which give the solutions explicitly.

How to Cite

APA

Isaza, P., Mejía, J. and Stallbohm, V. (1997). Regularizing effects for the linearized Kadomtsev-Petviashvili (KP) equation. Revista Colombiana de Matemáticas, 31(1), 37–61. https://revistas.unal.edu.co/index.php/recolma/article/view/33655

ACM

[1]
Isaza, P., Mejía, J. and Stallbohm, V. 1997. Regularizing effects for the linearized Kadomtsev-Petviashvili (KP) equation. Revista Colombiana de Matemáticas. 31, 1 (Jan. 1997), 37–61.

ACS

(1)
Isaza, P.; Mejía, J.; Stallbohm, V. Regularizing effects for the linearized Kadomtsev-Petviashvili (KP) equation. rev.colomb.mat 1997, 31, 37-61.

ABNT

ISAZA, P.; MEJÍA, J.; STALLBOHM, V. Regularizing effects for the linearized Kadomtsev-Petviashvili (KP) equation. Revista Colombiana de Matemáticas, [S. l.], v. 31, n. 1, p. 37–61, 1997. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33655. Acesso em: 10 mar. 2025.

Chicago

Isaza, Pedro, Jorge Mejía, and Volker Stallbohm. 1997. “Regularizing effects for the linearized Kadomtsev-Petviashvili (KP) equation”. Revista Colombiana De Matemáticas 31 (1):37-61. https://revistas.unal.edu.co/index.php/recolma/article/view/33655.

Harvard

Isaza, P., Mejía, J. and Stallbohm, V. (1997) “Regularizing effects for the linearized Kadomtsev-Petviashvili (KP) equation”, Revista Colombiana de Matemáticas, 31(1), pp. 37–61. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33655 (Accessed: 10 March 2025).

IEEE

[1]
P. Isaza, J. Mejía, and V. Stallbohm, “Regularizing effects for the linearized Kadomtsev-Petviashvili (KP) equation”, rev.colomb.mat, vol. 31, no. 1, pp. 37–61, Jan. 1997.

MLA

Isaza, P., J. Mejía, and V. Stallbohm. “Regularizing effects for the linearized Kadomtsev-Petviashvili (KP) equation”. Revista Colombiana de Matemáticas, vol. 31, no. 1, Jan. 1997, pp. 37-61, https://revistas.unal.edu.co/index.php/recolma/article/view/33655.

Turabian

Isaza, Pedro, Jorge Mejía, and Volker Stallbohm. “Regularizing effects for the linearized Kadomtsev-Petviashvili (KP) equation”. Revista Colombiana de Matemáticas 31, no. 1 (January 1, 1997): 37–61. Accessed March 10, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33655.

Vancouver

1.
Isaza P, Mejía J, Stallbohm V. Regularizing effects for the linearized Kadomtsev-Petviashvili (KP) equation. rev.colomb.mat [Internet]. 1997 Jan. 1 [cited 2025 Mar. 10];31(1):37-61. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/33655

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