The conservation law approach in geometric PDEs
Chang-Yu Guo, Chang-Lin Xiang
TL;DR
This survey reviews the conservation law approach in geometric PDEs, focusing on its application to modeling polyharmonic maps, and discusses its theoretical framework and significance.
Contribution
It provides a comprehensive overview of the conservation law method in geometric PDEs, highlighting its role in understanding polyharmonic maps.
Findings
Conservation laws facilitate analysis of geometric PDEs.
Polyharmonic maps are effectively modeled using conservation law techniques.
The survey summarizes key developments and open problems in the field.
Abstract
In this survey paper, we give an overview of the conservation law approach in the study of geometric PDEs that models in particular polyharmonic maps.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Nonlinear Waves and Solitons · Mathematical Dynamics and Fractals