Nonlinear second order evolution equations with state-dependent delays
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We consider second order quasilinear parabolic equations where also the main part contains functional dependence and state-dependent delay on the unknown function. Existence and some qualitative properties of the solutions are shown.
László Simon
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A new spline technique for the time fractional diffusion-wave equation. [PDF]
MethodsX, 2023 Singh S, Singh S, Aggarwal A.
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On Regularized Systems of Equations for Gas Mixture Dynamics with New Regularizing Velocities and Diffusion Fluxes. [PDF]
Entropy (Basel), 2023 Zlotnik A, Lomonosov T.
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Comparative Characterization of Nonlinear Ultrasound Fields Generated by Sonalleve V1 and V2 MR-HIFU Systems. [PDF]
IEEE Trans Ultrason Ferroelectr Freq Control, 2023 Karzova MM +6 more
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Regularity results and asymptotic behavior for a noncoercive parabolic problem. [PDF]
J Evol Equ, 2021 Boccardo L, Orsina L, Porzio MM.
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Electronic Journal of Differential Equations, 2015 Here we generalize quasilinear parabolic p-Laplacian type equations to obtain the prototype equation $$ u_t - \hbox{div} \Big(\frac{g(|Du|)}{|Du|} Du\Big) = 0, $$ where g is a nonnegative, increasing, and continuous function trapped in between two
Sukjung Hwang, Gary M. Lieberman
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Uniqueness of limit flow for a class of quasi-linear parabolic equations
Advances in Nonlinear Analysis, 2017 We investigate the issue of uniqueness of the limit flow for a relevant class of quasi-linear parabolic equations defined on the whole space. More precisely, we shall investigate conditions which guarantee that the global solutions decay at infinity ...
Squassina Marco, Watanabe Tatsuya
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Surface Morphology Evolution during Chemical Mechanical Polishing Based on Microscale Material Removal Modeling for Monocrystalline Silicon. [PDF]
Materials (Basel), 2022 Xia J +5 more
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On a quasilinear parabolic integrodifferential equation
Differential and Integral Equations, 1995 The author considers the nonlinear Volterra integrodifferential equation \(u_ t - a* \text{div} h(\text{grad} u) = a*g\), where \(x \in \mathbb{R}^ n\), \(t \geq 0\) and where the initial function \(u(0,x) = w(x)\) is given. The kernel \(a\) satisfies \(a \in L^ 1_{\text{loc}} (\mathbb{R}^ +)\) and the parabolic condition \(\text{Re}\widetilde a ...
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A Quasilinear Parabolic System with Nonlocal Boundary Condition
Boundary Value Problems, 2011 We investigate the blow-up properties of the positive solutions to a quasilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal ...
Mu Chunlai, Chen Botao, Mi Yongsheng
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