Browsing by Author "Sonner, S."
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Attractors for a class of semilinear degenerate parabolic equations
Kogoj, A.E.; Sonner, S. (20131231)We consider degenerate parabolic equations of the form ∂tu = Δλu + f(u) u{pipe}∂Ω = 0, u{pipe}t=0 = u0 in a bounded domain Ω ⊂N, where Δλ is a subelliptic operator of the type (Formula presented.) We prove global existence ... 
Attractors met Xelliptic operators
Kogoj, A.E.; Sonner, S. (20141231)We consider degenerate parabolic and damped hyperbolic equations involving an operator L, that is Xelliptic with respect to a family of locally Lipschitz continuous vector fields X={X1,... Xm}. The local wellposedness ... 
Hardtype inequalities for $\Delta_{\lambda}$Laplacians
Kogoj, A.E.; Sonner, S. (20151231)We derive Hardytype inequalities for a large class of subelliptic operators that belong to the class of (Formula presented.) Laplacians and find explicit values for the constants involved. Our results generalize previous ... 
Hardy type inequalities for $\Delta_{\lambda}$Laplacians
Kogoj, A.E.; Sonner, S. (20160101)We derive Hardytype inequalities for a large class of subelliptic operators that belong to the class of $\Delta_{\lambda}$Laplacians and find explicit values for the constants involved. Our results generalize previous ... 
On the positivity of solutions of systems of stochastic PDEs
Cresson, J.; Efendiev, M.A.; Sonner, S. (20131231)We study the positivity of solutions of a class of semilinear parabolic systems of stochastic partial differential equations by considering random approximations. For the family of random approximations we derive explicit ... 
On the wellposedness of mathematical models for multicomponent biofilms
Sonner, S.; Efendiev, M.A.; Eberl, H.J. (20151231)Bacterial biofilms are microbial depositions on immersed surfaces. Their mathematical description leads to degenerate diffusionreaction equations with two nonFickian effects: (i) a porous medium equation like degeneracy ... 
Pullback exponential attractors for evolution processes in Banach spaces: Properties and applications
Carvalho, A.N.; Sonner, S. (20141231)This article is a continuation of our previous work [5], where we formulated general existence theorems for pullback exponential attractors for asymptotically compact evolution processes in Banach spaces and discussed its ... 
Pullback exponential attractors for evolution processes in banach spaces: Theoretical results
Carvalho, A.N.; Sonner, S. (20131231)We construct exponential pullback attractors for time continuous asymptotically compact evolution processes in Banach spaces and derive estimates on the fractal dimension of the attractors. We also discuss the corresponding ...