Uniqueness of sign-changing solutions to Trudinger's equation
Riku Anttila, Peter Lindqvist, Mikko Parviainen
TL;DR
This paper proves the uniqueness of sign-changing solutions to Trudinger's parabolic equation with time-dependent boundary conditions, addressing a specific class of nonlinear PDEs.
Contribution
It establishes the first known uniqueness result for sign-changing solutions to Trudinger's equation with dynamic boundary data.
Findings
Uniqueness of sign-changing solutions is confirmed for Trudinger's parabolic equation.
The result applies to equations with time-dependent $C^2$ Dirichlet boundary data.
Abstract
We establish uniqueness for sign-changing solutions to Trudinger's parabolic equation with time dependent Dirichlet boundary data.
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