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Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator.
Abert C +5 more
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Modelling cochlear mechanics. [PDF]
Ni G, Elliott SJ, Ayat M, Teal PD.
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Theory of deformable substrates for cell motility studies. [PDF]
Peterson MA.
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Critical Fujita exponents for a class of quasilinear coupled parabolic equations
Yuanyuan Nie +3 more
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Maxim Sidorov
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Existence results for some quasilinear parabolic equations
Nonlinear Analysis: Theory, Methods & Applications, 1989A quasilinear parabolic equation is considered. Minimal regularity of the data and a natural growth condition are assumed. It is shown that if there exist a subsolution \(\phi\) and a supersolution \(\psi\) such that \(\phi\leq \psi\), then there exists at least one weak solution u such that \(\phi\leq u\leq \psi\).
Lucio Boccardo +2 more
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Central manifolds of quasilinear parabolic equations
Ukrainian Mathematical Journal, 1998This paper deals with a nonlinear parabolic problem of the following form \[ \frac{\partial u}{\partial t}- \sum_{|\alpha |= 2m} a_{\alpha}(x,u,\dots, D^{\beta}u) D^{\alpha } u= f (x, u,\dots, D^{\beta}u), \quad |\beta |\leq 2m-1, \tag{1} \] where \( \alpha =(\alpha_{1},\dots, \alpha_{n}) \) is a multi-index and \( D^{\alpha } = \partial^{|\alpha |} / \
Belan, E. P., Lykova, O. B.
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Generalized Quasilinearization for Quasilinear Parabolic Equations with Nonlinearities of DC Type
Journal of Optimization Theory and Applications, 2001The authors consider an initial-boundary value problem for a class of quasilinear parabolic equations whose lower-order nonlinearity is of d.c. function type (difference of two convex functions) with respect to the dependent variable. Combining the method of quasilinearization with the well-known method of upper and lower solutions together with the ...
Carl, S., Lakshmikantham, V.
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Removable Singularities and Quasilinear Parabolic Equations
Proceedings of the London Mathematical Society, 1984On etablit un theoreme sur les singularites eliminables pour des equations parabiliques ...
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