Exploració per tema "Classificació AMS::35 Partial differential equations::35B Qualitative properties of solutions"
Ara es mostren els items 1-20 de 50
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A generalization of the Allen–Cahn equation
(2015-04-01)
Article
Accés obertOur aim in this paper is to study generalizations of the Allen–Cahn equation based on a modification of the Ginzburg–Landau free energy proposed in S. Torabi et al. (2009, A new phase-field model for strongly anisotropic ... -
A Liouville type result for fractional Schrödinger operators in 1D
(Universitat Politècnica de Catalunya, 2017-01)
Projecte Final de Màster Oficial
Accés obertThe aim of this master's thesis is to obtain an alternative and original proof of a Liouville type result for fractional Schrödinger operators in 1D without using a local extension problem, in the spirit of the recent work ... -
A mean field equation on a torus: one-dimensional symmetry of solutions
(2003)
Article
Accés obertWe study the equation $$-\Delta u=\lambda\left(\frac{e^u}{\int_\oep e^u}- \frac{1}{|\oep|}\right)\quad \text{in }\oep$$ for $u\in E$, where $E = \{ u \in H^1(\oep): u \hbox{ is doubly periodic}, \int_{\oep} u = 0 \}$ and ... -
A result on class-C1 linearization of contractions in infinite dimensions
(2002)
Article
Accés obert -
A universal Hölder estimate up to dimension 4 for stable solutions to half-Laplacian semilinear equations
(2022-04-25)
Article
Accés restringit per política de l'editorialWe study stable solutions to the equation , posed in a bounded domain of . For nonnegative convex nonlinearities, we prove that stable solutions are smooth in dimensions . This result, which was known only for , follows ... -
An example on Lyapunov stability and linearization
(2020-01-01)
Article
Accés obertThe purpose of this paper is to present an example of a (in the Fréchet sense) discrete dynamical system in a infinite-dimensional separable Hilbert space for which the origin is an exponentially asymptotically stable ... -
Analysis of a viscoelastic spring-mass model
(2003)
Article
Accés obertIn this paper we consider a linear wave equation with strong damping and dynamical boundary conditions as an alternative model for the classical spring-mass-damper ODE. Our purpose is to compare analytically these two ... -
Antisymmetry of solutions for some weighted elliptic problems
(2018-03-17)
Article
Accés obertThis article concerns the antisymmetry, uniqueness, and monotonicity properties of solutions to some elliptic functionals involving weights and a double well potential. In the one-dimensional case, we introduce the continuous ... -
Asymptotic behavior of a Cahn-Hilliard/Allen-Cahn system with temperature
(2020-04)
Article
Accés obertThe main goal of this paper is to study the asymptotic behavior of a coupled Cahn-Hilliard/Allen-Cahn system with temperature. The work is divided into two parts: In the rst part, the heat equation is based on the usual ... -
Boundary regularity for the fractional heat equation
(Universitat Politècnica de Catalunya, 2014-09)
Treball Final de Grau
Accés obertIn this dissertation we present an introduction to nonlocal operators, and in particular, we study the fractional heat equation, which involves the fractional Laplacian of order 2s. In the first chapters we make a review ... -
Bounded solutions of some nonlinear elliptic equations in cylindrical domains
(1997)
Article
Accés obertThe existence of a (unique) solution of the second order semilinear elliptic equation $$ \sum^{n}_{i,j=0}a_{ij}(x)u_{x_{i}x_{j}}+f(\nabla u,u,x)=0 $$ with $x=(x_{0},x_{1},\dots, x_{n})\in (s_{0},\infty )\times \Omega '$, ... -
Continuous dependence and convergence for Moore–Gibson–Thompson heat equation
(Springer Nature, 2023-08)
Article
Accés obertIn this paper, we investigate how the solutions vary when the relaxation parameter, the conductivity rate parameter, or the thermal conductivity parameter change in the case of the Moore-Gibson-Thompson heat equation. In ... -
Decay of waves in strain gradient porous elasticity with Moore-Gibson-Thompson dissipation
(2022-09-05)
Article
Accés obertWe study a one-dimensional problem arising in strain gradient porous-elasticity. Three different Moore–Gibson–Thompson dissipation mechanisms are considered: viscosity and hyperviscosity on the displacements, and weak ... -
Delaunay hypersurfaces with constant nonlocal mean curvature
(2017-08-12)
Article
Accés restringit per política de l'editorialWe study hypersurfaces of RN with constant nonlocal (or fractional) mean curvature. This is the equation associated with critical points of the fractional perimeter functional under a volume constraint. We establish the ... -
Entire solutions of semilinear elliptic equations in R<sup>3</sup> and a conjecture of De Giorgi
(1999)
Article
Accés obert -
Equacions en derivades parcials, geometria i control estocastic
(Societat Catalana de Matemàtiques, 2000)
Article
Accés obert -
Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier
(1999)
Article
Accés obertIn this Note, we consider the linear heat equation ut - Au= a(x)u in (0,T)xW,u=0 on (0,T)xaW, and u(0)=uº on W, where W C RN is a smooth bounded domain. We assume that a€L^loc(W) a >=0 and u>=. A simple condition on the ... -
Exponential decay in one-dimensional type III thermoelasticity with voids
(Elsevier, 2019-08)
Article
Accés obertIn this paper we consider the one-dimensional type III thermoelastic theory with voids. We prove that generically we have exponential stability of the solutions. This is a striking fact if one compares it with the behavior ... -
Extremal solutions and instantaneous complete blow-up for elliptic and parabolic problems
(2005)
Article
Accés obert -
Geography of resonances and Arnold diffusion in a priori unstable Hamiltonian systems
(2008-12-08)
Article
Accés obertIn the present paper we consider the case of a general $\cont{r+2}$ perturbation, for $r$ large enough, of an a priori unstable Hamiltonian system of $2+1/2$ degrees of freedom, and we provide explicit conditions on it, ...