Scholarlink

<p>In this paper we consider parabolic quasilinear nonautonomous evolution problems with variable exponents and homogeneous Neumann boundary conditions. We deduce a semilinear limit problem associated with this quasilinear problem and we prove results on the existence of solutions, in some sense, for both problems. We prove existence of global strong solutions and integral solutions, as well we prove the existence of the pullback attractors. Additionally, we prove results on asymptotic dynamics for these models, that is, we obtain results on continuity of the flow and upper semicontinuity of pullback attractors in the sense of Hausdorff semidistance.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Nonautonomous evolution equations: connecting quasilinear with semilinear

  • 期刊论文

  • 发表日期：

    2025年1月13日

查看全文
  • Flank D. M. Bezerra,
  • Marcelo J. D. Nascimento,
  • Jacson Simsen,
  • Mariza S. Simsen

摘要

In this paper we consider parabolic quasilinear nonautonomous evolution problems with variable exponents and homogeneous Neumann boundary conditions. We deduce a semilinear limit problem associated with this quasilinear problem and we prove results on the existence of solutions, in some sense, for both problems. We prove existence of global strong solutions and integral solutions, as well we prove the existence of the pullback attractors. Additionally, we prove results on asymptotic dynamics for these models, that is, we obtain results on continuity of the flow and upper semicontinuity of pullback attractors in the sense of Hausdorff semidistance.