JOURNAL ARTICLE
Entire solutions of first-order nonlinear partial differential equations
Year: 1997 Journal: Proceedings of the American Mathematical Society Vol: 125 (5)Pages: 1483-1485 Publisher: American Mathematical Society
Abstract
We show that any entire solution of an essentially nonlinear first-order partial differential equation in two variables must be linear.
Keywords:
First-order partial differential equation Nonlinear system Mathematics Partial differential equation Order (exchange) Mathematical analysis Applied mathematics Differential equation Elliptic partial differential equation Method of characteristics Physics Economics
Metrics
26
Cited By
0.00
FWCI (Field Weighted Citation Impact)
14
Refs
0.08
Citation Normalized Percentile
Is in top 1%
Is in top 10%
Citation History
Topics
Meromorphic and Entire Functions
Physical Sciences → Mathematics → Applied Mathematics
Analytic and geometric function theory
Physical Sciences → Mathematics → Geometry and Topology
Holomorphic and Operator Theory
Physical Sciences → Mathematics → Applied Mathematics
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