Seminar “On qualitative properties of solutions of equations and inequalities with KPZ-nonlinearities”

11 May at 19:30 MSK

Title of the talk: On qualitative properties of solutions of equations and inequalities with KPZ-nonlinearities.

For quasilinear partial differential equations and inequalities containing nonlinearities of the Kardar–Parisi–Zhang type (i.e., the scalar square of the gradient and its generalizations), we present a summary of (old and recent) results regarding the stabilization of solutions (for the parabolic and elliptic cases), the blow-up of solutions, and specific phenomena (e.g., the extinction of solutions). Descriptive examples demonstrating the Bitsadze approach (the technique of monotone maps) applied in this research area are provided.

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