Remarks on two fourth order elliptic problems in whole space
, 2014 We are interested in entire solutions for the semilinear biharmonic equation $\Delta^{2}u=f(u)$ in $\R^N$, where $f(u)=e^{u}$ or $-u^{-p}\ (p>0)$. For the exponential case, we prove that any classical entire solution verifies $-\Delta u>0$ without any ...
Lai, Baishun, Ye, Dong
core +3 more sources
Weighted Dispersive Estimates for Solutions of the Schrödinger Equation [PDF]
, 2008 2000 Mathematics Subject Classification: 35L15, 35B40, 47F05.Introduction and statement of results. In the present paper we will be interested in studying the decay properties of the Schrödinger group.The authors have been supported by the agreement ...
Cardoso, Fernando +2 more
core
Asymptotic parabolicity for strongly damped wave equations
, 2013 For $S$ a positive selfadjoint operator on a Hilbert space, \[ \frac{d^2u}{dt}(t) + 2 F(S)\frac{du}{dt}(t) + S^2u(t)=0 \] describes a class of wave equations with strong friction or damping if $F$ is a positive Borel function.
Fragnelli, Genni +3 more
core +1 more source
On a Cubic-Quintic Ginzburg-Landau Equation with Global Coupling [PDF]
, 2005 We study standing wave solutions in a Ginzburg-Landau equation which consists of a cubic-quintic equation stabilized by global coupling A_t= \Delta A +\mu A + c A^3 -A^5 -k A (\int_{R^n} A^2\,dx).
Wei, J, Winter, M
core
Logarithmic Sobolev inequality for diffusion semigroups [PDF]
, 2009 Through the main example of the Ornstein-Uhlenbeck semigroup, the Bakry-Emery criterion is presented as a main tool to get functional inequalities as Poincar\'e or logarithmic Sobolev inequalities.
Gentil, Ivan
core +1 more source
A simple derivation of BV bounds for inhomogeneous relaxation systems [PDF]
, 2014 We consider relaxation systems of transport equations with heterogeneous source terms and with boundary conditions, which limits are scalar conservation laws. Classical bounds fail in this context and in particular BV estimates.
Perthame, Benoit +2 more
core +2 more sources
Dynamics and profiles of a degenerated reaction-diffusion host-pathogen model with apparent and inapparent infection period. [PDF]
Commun Nonlinear Sci Numer Simul, 2023 Wang J, Lu H.
europepmc +1 more source
Small data global regularity for half-wave maps in n = 4 dimensions. [PDF]
Commun Partial Differ Equ, 2021 Kiesenhofer A, Krieger J.
europepmc +1 more source
Perceptive movement of susceptible individuals with memory. [PDF]
J Math Biol, 2023 Zhang H, Wang H, Wei J.
europepmc +1 more source
Spatio-Temporal SIR Model with Robin Boundary Condition and Automatic Lockdown Policy. [PDF]
Int J Appl Comput Math, 2023 Elamraoui O, Essoufi EH, Zafrar A.
europepmc +1 more source