Nonlocal quasivariational evolution problems |
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Authors: | Ulisse Stefanelli |
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Institution: | Istituto di Matematica Applicata e Tecnologie Informatiche, CNR, via Ferrata 1, I-27100 Pavia, Italy |
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Abstract: | This note addresses a class of abstract quasivariational evolution equations taking into account nonlocality with respect to time. We present an existence result for suitably weak solutions to such problems, which extend previous contributions. The existence argument relies on some order technique and exploits a fixed point result for multivalued applications in ordered spaces. Moreover, we discuss the application of our results to classes of ODE and parabolic PDE problems. |
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Keywords: | 34G25 47J20 |
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