Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications

作者：Victor A. Galaktionov · 年份：2004 · DOI：10.1201/9780203998069 · 被引用次数：163 · 研究领域：advanced mathematical theories、Quantum chaos and dynamical systems、Advanced Differential Equations and Dynamical Systems

Unlike the classical Sturm theorems on the zeros of solutions of second-order ODEs, Sturm's evolution zero set analysis for parabolic PDEs did not attract much attention in the 19th century, and, in fact, it was lost or forgotten for almost a century. Briefly revived by P�lya in the 1930's and rediscovered in part several times since, it was not un