Geodesic
Existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions and its applications
Applications of Mathematics, Tome 63 (2018) no. 4, pp. 423-437.

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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.
DOI : 10.21136/AM.2018.0233-17
Classification : 35K10, 35K20, 35K55, 35K57, 35K59, 35K90, 35K92, 47J35
Keywords: existence; anti-periodic boundary condition; Schaefer fixed-point theorem; continuity method; diffusion equation 
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     title = {Existence of solutions for evolution equations in {Hilbert} spaces with anti-periodic boundary conditions and its applications},
     journal = {Applications of Mathematics},
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Boussandel, Sahbi. Existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions and its applications. Applications of Mathematics, Tome 63 (2018) no. 4, pp. 423-437. doi : 10.21136/AM.2018.0233-17. http://geodesic.mathdoc.fr/articles/10.21136/AM.2018.0233-17/

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