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On entire solutions to eikonal-type equations
Journal of Mathematical Analysis and Applications ( IF 1.2 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.jmaa.2020.124704 Wei Chen , Qi Han
Journal of Mathematical Analysis and Applications ( IF 1.2 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.jmaa.2020.124704 Wei Chen , Qi Han
Abstract This paper discusses equivalence conditions on entire solutions to eikonal-type nonlinear partial differential equations u z 1 2 + u z 2 2 = p ( z 1 , z 2 ) e g ( z 1 , z 2 ) in C 2 for polynomials g ( z 1 , z 2 ) , p ( z 1 , z 2 ) . All our results are supplemented by examples for accuracy.
中文翻译:
关于 eikonal 型方程的全解
摘要 本文讨论了ekonal型非线性偏微分方程uz 1 2 + uz 2 2 = p ( z 1 , z 2 ) eg ( z 1 , z 2 ) in C 2 对于多项式g ( z 1 )的等价条件, z 2 ) , p ( z 1 , z 2 ) 。我们所有的结果都附有示例以确保准确性。
更新日期:2020-10-01
中文翻译:
关于 eikonal 型方程的全解
摘要 本文讨论了ekonal型非线性偏微分方程uz 1 2 + uz 2 2 = p ( z 1 , z 2 ) eg ( z 1 , z 2 ) in C 2 对于多项式g ( z 1 )的等价条件, z 2 ) , p ( z 1 , z 2 ) 。我们所有的结果都附有示例以确保准确性。