Research article

Destruction of solutions for class of wave $ p(x)- $bi-Laplace equation with nonlinear dissipation

  • Received: 03 August 2022 Revised: 15 September 2022 Accepted: 22 September 2022 Published: 28 September 2022
  • MSC : 35B35, 35G05, 35Q70, 45D05, 74D99

  • An initial value problem is considered for the nonlinear dissipative wave equation containing the $ p(x) $-bi-Laplacian operator. For this problem, sufficient conditions for the blow-up with nonpositive initial energy of a generalized solution are obtained in finite time where a wide variety of techniques are used.

    Citation: Khaled Zennir, Abderrahmane Beniani, Belhadji Bochra, Loay Alkhalifa. Destruction of solutions for class of wave $ p(x)- $bi-Laplace equation with nonlinear dissipation[J]. AIMS Mathematics, 2023, 8(1): 285-294. doi: 10.3934/math.2023013

    Related Papers:

  • An initial value problem is considered for the nonlinear dissipative wave equation containing the $ p(x) $-bi-Laplacian operator. For this problem, sufficient conditions for the blow-up with nonpositive initial energy of a generalized solution are obtained in finite time where a wide variety of techniques are used.



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