Results 11 to 20 of about 12,475 (200)
The quasilinear parabolic kirchhoff equation
Open Mathematics, 2017 In this paper the existence of solution of a quasilinear generalized Kirchhoff equation with initial – boundary conditions of Dirichlet type will be studied using the Leray – Schauder principle.
Dawidowski Łukasz
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Quasilinear parabolic stochastic partial differential equations: existence, uniqueness [PDF]
Stochastic Processes and their Applications, 2015 In this paper, we provide a direct approach to the existence and uniqueness of strong (in the probabilistic sense) and weak (in the PDE sense) solutions to quasilinear stochastic partial differential equations, which are neither monotone nor locally ...
Hofmanova, Martina, Zhang, Tusheng
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Monotone economical schemes for quasilinear parabolic equations
Mathematical Modelling and Analysis, 2002 In order to approximate a multidimensional quasilinear parabolic equation with unlimited nonlinearity the economical vector‐additive scheme is constructed.
N. V. Dzenisenko +2 more
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Depleting the signal: Analysis of chemotaxis‐consumption models—A survey
Studies in Applied Mathematics, Volume 151, Issue 4, Page 1197-1229, November 2023., 2023 Abstract We give an overview of analytical results concerned with chemotaxis systems where the signal is absorbed. We recall results on existence and properties of solutions for the prototypical chemotaxis‐consumption model and various variants and review more recent findings on its ability to support the emergence of spatial structures.
Johannes Lankeit, Michael Winkler
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On qualitative properties of a system containing a singular parabolic functional equation
Electronic Journal of Qualitative Theory of Differential Equations, 2008 We consider a system consisting of a quasilinear parabolic equation and a first order ordinary differential equation containing functional dependence on the unknown functions. The existence and some properties of solutions in $(0,\infty )$ will be proved.
László Simon
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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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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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Some results about an anisotropic -Laplace–Barenblatt equation
Advances in Nonlinear Analysis, 2012 We investigate the following quasilinear parabolic equation of Barenblatt type,
Giacomoni Jacques, Vallet Guy
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On quasilinear parabolic evolution equations in weighted Lp-spaces II [PDF]
, 2013 Our study of abstract quasi-linear parabolic problems in time-weighted L_p-spaces, begun in [17], is extended in this paper to include singular lower order terms, while keeping low initial regularity.
D. Bothe +6 more
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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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