Results 11 to 20 of about 1,241 (227)
Karpatsʹkì Matematičnì Publìkacìï, 2022 The aim of the present paper is to investigate of some properties of periodic solutions of a nonlinear autonomous parabolic systems with a periodic condition.
I.I. Klevchuk
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On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions
Boundary Value Problems, 2007 A generalization of the comparison principle for a semilinear and a quasilinear parabolic equations with nonlocal boundary conditions including changing sign kernels is obtained. This generalization uses a positivity result obtained here for a parabolic
Zorgati Hamdi, Wang Yuandi
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On the local integrability and boundedness of solutions to quasilinear parabolic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2004 We introduce a structure condition of parabolic type, which allows for the generalization to quasilinear parabolic systems of the known results of integrability, and boundedness of local solutions to singular and degenerate quasilinear parabolic ...
T. Giorgi, M. O'Leary
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Boundary Value Problems, 2018 This paper is concerned with a kind of first-order quasilinear parabolic partial differential equations associated with a class of ordinary differential equations with two-point boundary value problems. We prove that the function given by the solution of
Ning Ma, Zhen Wu
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Flow relaxation method in solving quasilinear parabolic equations [PDF]
Компьютерные исследования и моделирование, 2011 This article proposes a numeric method of solution of quasilinear parabolic equations, based on the flux approximation, describes the implementation of the method on a rectangular grid and presents numerical results.
Alexey I. Lobanov, V. A. Usenko
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Constrained Evolution for a Quasilinear Parabolic Equation [PDF]
Journal of Optimization Theory and Applications, 2016 In the present contribution, a feedback control law is studied for a quasilinear parabolic equation. First, we prove the well-posedness and some regularity results for the Cauchy--Neumann problem for this equation, modified by adding an extra term which is a multiple of the subdifferential of the distance function from a closed convex set K of L<sup&
P Colli, G Gilardi, J Sprekels
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Quasilinear Evolution Equations in LμP-Spaces with Lower Regular Initial Data
Journal of Function Spaces, 2018 We study the Cauchy problem of the quasilinear evolution equations in Lμp-spaces. Based on the theories of maximal Lp-regularity of sectorial operators, interpolation spaces, and time-weighted Lp-spaces, we establish the local posedness for a class of ...
Qinghua Zhang
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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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Critical Exponents of Quasilinear Parabolic Equations
Journal of Mathematical Analysis and Applications, 2002 The critical exponent for the global existence of positive solutions of the equation \[ u_t = \text{div}(|\nabla u|^{m-1}\nabla u)+t^s|x|^\sigma u^p \] in \(\mathbb R^n\) is found for \(s\geq 0\), \((n-1)/(n+1)n(1-m)-1-m-2s.\)
Qi, YW, Wang, MX
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A Picone identity for variable exponent operators and applications
Advances in Nonlinear Analysis, 2019 In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u|p(x)−2 ∇ u).
Arora Rakesh +2 more
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