ポテンシャルを伴うバイラプラシアン方程式の解の定量的ユニーク継続性特性

Key Points

• The maximal vanishing order of solutions is bounded by a specific constant, ensuring unique continuation.
• The study introduces a variant frequency function with weights to explore almost monotonicity in identities.
• This work decomposes the fourth-order bi-laplacian equation into a system of two second-order equations, enhancing analysis.
• Optimality of the exponent is confirmed through analogies with eigenfunctions of the bi-laplacian, suggesting robust outcomes.