27 citations · 45 across the 3 of their papers we have counts for
5 papers
Almost periodic evolution systems with impulse action at state-dependent moments
Robert Hakl, Manuel Pinto, Viktor Tkachenko +1
We study the existence of almost periodic solutions for semi-linear abstract parabolic evolution equations with impulse action at state-dependent moments. In particular, we present…
Existence and Properties of Semi-Bounded Global Solutions to the Functional Differential Equation with Volterra's Type Operators on the Real Line
Maitere Aguerrea, Robert Hakl
Consider the equation $$ u'(t)=\ell_0(u)(t)-\ell_1(u)(t)+f(u)(t)\qquad\mbox{for~a.~e.~}\,t\in\mathbb{R} $$ where $\ell_i:C_{loc}\big(\mathbb{R};\mathbb{R}\big)\to L_{loc}\big(\math…
Existence results for a fourth order partial differential equation arising in condensed matter physics
Carlos Escudero, Filippo Gazzola, Robert Hakl +2
We study a higher order parabolic partial differential equation that arises in the context of condensed matter physics. It is a fourth order semilinear equation whose nonlinearity…
Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth
Carlos Escudero, Robert Hakl, Ireneo Peral +1
The existence of stationary radial solutions to a partial differential equation arising in the theory of epitaxial growth is studied. Our results depend on the size of a parameter…
On radial stationary solutions to a model of nonequilibrium growth
Carlos Escudero, Robert Hakl, Ireneo Peral +1
We present the formal geometric derivation of a nonequilibrium growth model that takes the form of a parabolic partial differential equation. Subsequently, we study its stationary…