Article
MSC:
35K10,
35K20,
35K55,
35K57,
35K59,
35K90,
35K92,
47J35 | MR 3842961 | Zbl 06945740 | DOI: 10.21136/AM.2018.0233-17
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Keywords:
existence; anti-periodic boundary condition; Schaefer fixed-point theorem; continuity method; diffusion equation
existence; anti-periodic boundary condition; Schaefer fixed-point theorem; continuity method; diffusion equation
Summary:
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.
References:
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