Results 51 to 60 of about 1,398 (233)
On the principle of linearized stability for quasilinear evolution equations in time‐weighted spaces
Mathematische Nachrichten, Volume 298, Issue 12, Page 3939-3959, December 2025.Abstract Quasilinear (and semilinear) parabolic problems of the form v′=A(v)v+f(v)$v^{\prime }=A(v)v+f(v)$ with strict inclusion dom(f)⊊dom(A)$\mathrm{dom}(f)\subsetneq \mathrm{dom}(A)$ of the domains of the function v↦f(v)$v\mapsto f(v)$ and the quasilinear part v↦A(v)$v\mapsto A(v)$ are considered in the framework of time‐weighted function spaces ...
Bogdan‐Vasile Matioc +2 more
wiley +1 more source
On the stationary Cahn-Hilliard equation: Interior spike solutions
, 1998 We study solutions of the stationary Cahn-Hilliard equation in a bounded smooth domain which have a spike in the interior. We show that a large class of interior points (the "nondegenerate peak" points) have the following property: there exist such ...
Winter, M, Wei, J
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SEMILINEAR ELLIPTIC EQUATIONS IN UNBOUNDED SYMMETRIC DOMAINS
Taiwanese Journal of Mathematics, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tzeng, Shyuh-yaur, Wang, Hwai-chiuan
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Weak solutions for a singular beam equation
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 12, December 2025.Abstract This paper deals with a dynamic Gao beam of infinite length subjected to a moving concentrated Dirac mass. Under appropriate regularity assumptions on the initial data, the problem possesses a weak solution which is obtained as the limit of a sequence of solutions of regularized problems.
Olena Atlasiuk +2 more
wiley +1 more source
A semilinear elliptic problem involving nonlinear boundary condition and sign-changing potential
Electronic Journal of Differential Equations, 2006 In this paper, we study the multiplicity of nontrivial nonnegative solutions for a semilinear elliptic equation involving nonlinear boundary condition and sign-changing potential.
Tsung-Fang Wu
doaj
A full multigrid method for semilinear elliptic equation [PDF]
Applications of Mathematics, 2017 16 pages, 6 figures.
Xie, Hehu, Xu, Fei
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 14890-14908, 15 November 2025.ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley +1 more source
Stationary solutions for the Cahn-Hilliard equation [PDF]
, 1998 We study the Cahn-Hilliard equation in a bounded domain without any symmetry assumptions. We assume that the mean curvature of the boundary has a nongenerate critical point.
Winter, M +5 more
core
Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions
, 2013 A semilinear second-order parabolic equation is considered in a regular and a singularly perturbed regime. For this equation, we give computable a posteriori error estimates in the maximum norm.
NATALIA KOPTEVA (12353197) +5 more
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Existence of Weak Solutions for a Degenerate Goursat‐Type Linear Problem
Mathematical Methods in the Applied Sciences, Volume 48, Issue 15, Page 14334-14341, October 2025.ABSTRACT For a generalization of the Gellerstedt operator with mixed‐type Dirichlet boundary conditions to a suitable Tricomi domain, we prove the existence and uniqueness of weak solutions of the linear problem and for a generalization of this problem.
Olimpio Hiroshi Miyagaki +2 more
wiley +1 more source