Existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions and its applications

[摘要] We establish the existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions. The energies associated to these evolution equations are quadratic forms. Our approach is based on application of the Schaefer fixed-point theorem combined with the continuity method.

[学科分类] 应用数学

[关键词] existence;anti-periodic boundary condition;Schaefer fixed-point theorem;continuity method;diffusion equation