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A Non-autonomous Damped Wave Equation with a Nonlinear Memory Term

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Abstract

In this paper, we study a non-autonomous damped wave equation with a nonlinear memory term. By using the theory of evolution process and sectorial operators, we ensure sufficient conditions for well-posedness and spatial regularity to the problem.

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Acknowledgements

Nguyen Huy Tuan is thankful to the Van Lang University.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade Federal de Sergipe, Avenue Marechal Rodon, São Cristóvão, SE, Brazil

    Bruno de Andrade

  2. Division of Applied Mathematics, Science and Technology Advanced Institute, Van Lang University, Ho Chi Minh City, Vietnam

    Nguyen Huy Tuan

  3. Faculty of Technology, Van Lang University, Ho Chi Minh City, Vietnam

    Nguyen Huy Tuan

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  1. Bruno de Andrade
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  2. Nguyen Huy Tuan
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Correspondence to Bruno de Andrade.

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B. de. Andrade: Partially supported by CNPQ and CAPES/FAPITEC under grants 308931/2017-3, 88881.157450/2017-01 and 88887.157906/2017-00.

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de Andrade, B., Tuan, N.H. A Non-autonomous Damped Wave Equation with a Nonlinear Memory Term. Appl Math Optim 85, 36 (2022). https://doi.org/10.1007/s00245-022-09842-7

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