Exponential growth of positive initial energy for a system of higher-order viscoelastic wave equations with variable exponents
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DOI: 10.1186/s13660-024-03250-x
Abstract: This work addresses a value problem concerning a system of high-order nonlinear equations with viscoelastic terms acting in both equations and homogeneous Dirichlet conditions. Initially, we demonstrate that the system has a weak local solution… read more here.
Keywords: system; variable exponents; document; positive initial ... See more keywords
Blow-up of solutions to a viscoelastic parabolic equation with positive initial energy
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DOI: 10.1186/s13661-017-0821-x
Abstract: In this paper, a semilinear viscoelastic parabolic equation with nonlinear boundary flux is studied. Due to the comparison principle being invalid, potential well method and concavity argument are used to prove that the solutions blow… read more here.
Keywords: viscoelastic parabolic; parabolic equation; initial energy; positive initial ... See more keywords
The influencing factors and prognosis analysis of positive initial margin in intraoperative frozen section during breast-conserving surgery
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DOI: 10.1186/s40001-025-02631-2
Abstract: A critical measure to reduce the risk of ipsilateral breast tumor recurrence after breast-conserving surgery (BCS) for patients with early invasive breast cancer (BC) is ensuring negative margins through frozen section intraoperative margin assessment (FSIMA).This… read more here.
Keywords: breast; conserving surgery; breast conserving; positive initial ... See more keywords