Existence and nonexistence of solution of fractional Lam� wave equation with polynomial nonlinearity source terms
In this work, we examine the existence and nonexistence of solution for lam� wave equation with a nonlinear source terms and fractional boundary dissipation. By using the semi group theory approach, we prove the existence of a global solution. Furthermore, we established the blow-up results under th...
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| Main Authors: | , , , , |
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Elsevier B.V.
2024
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| Summary: | In this work, we examine the existence and nonexistence of solution for lam� wave equation with a nonlinear source terms and fractional boundary dissipation. By using the semi group theory approach, we prove the existence of a global solution. Furthermore, we established the blow-up results under the non-positive initial energy condition. � 2023 The Author(s) |
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