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Recent Progress on Reaction-Diffusion Systems and Viscosity Solutions
This survey is concerned with positive solutions of nonlinear parabolic equations. Assuming that the underlying domain and the equation have certain reflectional symmetries, the presented results show how positive solutions reflect the symmetries. Depending on the class of solutions considered, the symmetries for all times or asymptotic symmetries are established. Several classes of problems, including fully nonlinear equations on bounded domains, quasilinear equations on R N , asymptoticallydoi:10.1142/9789812834744_0009 fatcat:yzk4a5m6oza5jhwgrwdjp43xea