Description of Entire Solutions of Eiconal Type Equations

Canadian mathematical bulletin

Bao Qin Li¹  Der-Chen Chang² 

[1] Department of Mathematics, Florida International University, Miami, FL 33199 USA;Department of Mathematics, Georgetown University, Washington, DC 20057 USA

关键词: entire solution;    eiconal equation;    polynomial;    transcendental function;   

DOI  :  10.4153/CMB-2011-080-8

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

The paper describes entire solutions to the eiconal type non-linear partial differentialequations, which include the eiconal equations $(X_1(u))^2+(X_2(u))^2=1$ as special cases, where $X_1=p_1{partial}/{partial z_1}+p_2{partial}/{partial z_2}$, $X_2=p_3{partial}/{partial z_1}+p_4{partial}/{partial z_2}$are linearly independent operators with $p_j$ being arbitrarypolynomials in $mathbf{C}^2$.

【 授权许可】

Unknown