Add to ORKGWe study one-dimensional wave equations defined by a class of fractal Laplacians. These Laplacians are defined by fractal measures generated by iterated function systems with overlaps. We prove the existence and uniqueness of weak solutions. We also study numerical computations of the solutions and prove the convergence of the approximation scheme. This is a joint work with John F. Chan and Alexander Teplyaev
We report some results concerning spectral asymptotics of fractal Laplacians defined one-dimensional...
Wave propagation in one-dimension: Methods and applications to complex and fractal structure
We consider a one-dimensional weakly damped wave equation, with a damping coefficient depending on t...
We study one-dimensional wave equations defined by a class of fractal Laplacians. These Laplacians a...
We study one-dimensional wave equations defined by a class of fractal Laplacians. These Laplacians a...
We study spectral asymptotics of a class of Laplacians defined by iterated function systems with over...
The spectral dimension of the Laplacian defined by a measure has been shown to be closely related to...
AbstractUnder the assumption that a self-similar measure defined by a one-dimensional iterated funct...
Under the assumption that a self-similar measure defined by a one-dimensional iterated function syst...
The spectral dimension of the Laplacian defined by a measure has been shown to be closely related to ...
We study spectral asymptotics of a class of Laplacians defined by iterated function systems with over...
AbstractThe nonlinear wave equation utt=Δu+f(u) with given initial data and zero boundary conditions...
A post-critically finite (p.c.f.) fractal with a regular harmonic structure admits an associated Dir...
We observe that some self-similar measures defined by finite or infinite iterated function systems with...
We study spectral asymptotics of Laplacians defined by iterated function systems with overlaps in hi...
We report some results concerning spectral asymptotics of fractal Laplacians defined one-dimensional...
Wave propagation in one-dimension: Methods and applications to complex and fractal structure
We consider a one-dimensional weakly damped wave equation, with a damping coefficient depending on t...
We study one-dimensional wave equations defined by a class of fractal Laplacians. These Laplacians a...
We study one-dimensional wave equations defined by a class of fractal Laplacians. These Laplacians a...
We study spectral asymptotics of a class of Laplacians defined by iterated function systems with over...
The spectral dimension of the Laplacian defined by a measure has been shown to be closely related to...
AbstractUnder the assumption that a self-similar measure defined by a one-dimensional iterated funct...
Under the assumption that a self-similar measure defined by a one-dimensional iterated function syst...
The spectral dimension of the Laplacian defined by a measure has been shown to be closely related to ...
We study spectral asymptotics of a class of Laplacians defined by iterated function systems with over...
AbstractThe nonlinear wave equation utt=Δu+f(u) with given initial data and zero boundary conditions...
A post-critically finite (p.c.f.) fractal with a regular harmonic structure admits an associated Dir...
We observe that some self-similar measures defined by finite or infinite iterated function systems with...
We study spectral asymptotics of Laplacians defined by iterated function systems with overlaps in hi...
We report some results concerning spectral asymptotics of fractal Laplacians defined one-dimensional...
Wave propagation in one-dimension: Methods and applications to complex and fractal structure
We consider a one-dimensional weakly damped wave equation, with a damping coefficient depending on t...