We first study the well-posedness of a nonclassical and nonautonomous diffusion equation containing unbounded delays. Then, we prove the existence and uniqueness of local solutions, and finally we prove the global in time existence of solutions as well as the continuous dependence on the initial values.
CITATION STYLE
Caraballo, T., Márquez-Durán, A. M., & Rivero, F. (2016). A nonclassical and nonautonomous diffusion equation containing infinite delays. In Springer Proceedings in Mathematics and Statistics (Vol. 164, pp. 385–399). Springer New York LLC. https://doi.org/10.1007/978-3-319-32857-7_36
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