Close Search Advanced
Journals
Resources
About Us
Open Access

On Linear Homogeneous Biwave Equations

On Linear Homogeneous Biwave Equations
Preview
Add to basket

Year:    2024

Author:    Yaqian Bai

Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 1 : pp. 59–87

Abstract

The biwave maps are a class of fourth order hyperbolic equations. In this paper, we are interested in the solution formulas of the linear homogeneous biwave equations. Based on the solution formulas and the weighted energy estimate, we can obtain the $L^\infty(\mathbb R^n)-W^{N,1}(\mathbb R^n)$ and $L^\infty(\mathbb R^n)-W^{N,2}(\mathbb R^n)$ estimates, respectively. By our results, we find that the biwave maps enjoy some different properties compared with the standard wave equations.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v37.n1.4

Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 1 : pp. 59–87

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    29

Keywords:    Biwave maps Duhamel’s principle Fourier transform Cauchy peoblem deacy estimate.

Author Details

Yaqian Bai

  1. Initial-Boundary Value Problem with Dirichlet and Wentzell Conditions for a Mildly Quasilinear Biwave Equation

    Korzyuk, V. I.

    Rudzko, J. V.

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Vol. 166 (2024), Iss. 3 P.377

    https://doi.org/10.26907/2541-7746.2024.3.377-394 [Citations: 0]