Results 31 to 40 of about 2,477 (140)
Advances in Nonlinear Analysis, 2014 We study a nonlinear elliptic problem with Robin type boundary condition, governed by a general Leray–Lions operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero p(·)-capacity.
Ouaro Stanislas +2 more
doaj +1 more source
Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and L1-data
Moroccan Journal of Pure and Applied Analysis, 2022 This work is devoted to the study of a new class of parabolic problems in inhomogeneous Orlicz spaces with gradient constraints and L1-data. One proves the existence of the solution by studying the asymptotic behaviour as p goes to ∞, of a sequence of ...
Ajagjal Sana
doaj +1 more source
, 2003 We prove Carleman inequalities for a second order parabolic equation when the coefficients are not bounded and norms of right hand sides are taken in the Sobolev space L(0, T ;W− 2 (Ω)), ∈ [0, 1].
O. Imanuvilov, Masahiro Yamamoto
semanticscholar +1 more source
Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 32, Page 2035-2052, 2003., 2003 We investigate a boundary value problem for a nonlinear evolution biharmonic operator motivated by flexion of fully clamped beam in two different physical situations. In the first, the supports of the ends of the beam are fixed and in the second one, the supports of the ends of the beam have small displacements.
J. Límaco, H. R. Clark, L. A. Medeiros
wiley +1 more source
Front instability in a condensed phase combustion model
Advances in Nonlinear Analysis, 2015 We consider a condensed phase (or solid) combustion model and its linearization around the travelling front solution. We construct an Evans function to characterize the eigenvalues of the linearized problem.
Bonnet Alexis +2 more
doaj +1 more source
A level set formulation for Willmore flow
, 2004 A level set formulation of Willmore flow is derived using the gradient flow perspective. Starting from single embedded surfaces and the corresponding gradient flow, the metric is generalized to sets of level set surfaces using the identification of ...
M. Droske, M. Rumpf
semanticscholar +1 more source
Boundary Value Problems, 2014 In this paper, we consider a p-Laplacian heat equation with inhomogeneous Neumann boundary condition. We establish respectively the conditions on the nonlinearities to guarantee that the solution u(x,t) exists globally or blows up at some finite time. If
Fushan Li, Jinling Li
semanticscholar +1 more source
Critical global asymptotics in higher‐order semilinear parabolic equations
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 60, Page 3809-3825, 2003., 2003 We consider a higher‐order semilinear parabolic equation ut = −(−Δ)mu − g(x, u) in ℝN × ℝ+, m > 1. The nonlinear term is homogeneous: g(x, su) ≡ |s|p−1sg(x, u) and g(sx, u) ≡ |s|Qg(x, u) for any s ∈ ℝ, with exponents P > 1, and Q > −2m. We also assume that g satisfies necessary coercivity and monotonicity conditions for global existence of solutions ...
Victor A. Galaktionov
wiley +1 more source
Advances in Nonlinear Analysis, 2019 In bounded n-dimensional domains Ω, the Neumann problem for the parabolic ...
Winkler Michael
doaj +1 more source
Numerical solution of a malignant invasion model using some finite difference methods
Demonstratio Mathematica, 2023 In this article, one standard and four nonstandard finite difference methods are used to solve a cross-diffusion malignant invasion model. The model consists of a system of nonlinear coupled partial differential equations (PDEs) subject to specified ...
Appadu Appanah Rao +1 more
doaj +1 more source