Damped wave equations and the heat equation
Darcy's law in anisothermic porous medium.
Darcy-type law associated to an optimal control problem.
Das Ausstrahlungsproblem für elliptische Differentialgleichungen in Gebieten mit unbeschränkten Rand.
Das Lemma von Max Müller-Nagumo-Westphal für stark gekoppelte Systeme parabolischer Funktional-Differentialgleichungen.
Das Maximumprinzip in unbeschränkten Gebieten für parabolische Ungleichungen mit Funktionalen.
Das Rand-Anfangswertproblem für quasilineare Wellengleichungen in Sobolevräumen niedriger Ordnung.
Das Verhalten der Ableitungen globaler Lösungen nicht-linearer Wellengleichungen für grosse Zeiten.
Decacy of solutions of the wave equation with a local nonlinear dissipation.
Decay and asymptotic behavior of solutions of the Keller-Segel system of degenerate and nondegenerate type
We classify the global behavior of weak solutions of the Keller-Segel system of degenerate and nondegenerate type. For the stronger degeneracy, the weak solution exists globally in time and has a uniform time decay under some extra conditions. If the degeneracy is weaker, the solution exhibits a finite time blow up if the data is nonnegative. The situation is very similar to the semilinear case. Some additional discussion is also presented.
Decay estimates for solutions of a class of parabolic problems arising in filtration through porous media
In questo lavoro si studia un problema di valori al contorno parabolico non lineare che si incontra nello studio dell'infiltrazione di un gas in un mezzo poroso. Si stabiliscono condizioni sui dati che determinano un comportamento di tipo esponenziale decrescente nel tempo per la soluzione e il suo gradiente. Si costruiscono inoltre stime esplicite.
Decay estimates for the compressible Navier-Stokes equations in unbounded domains.
Decay estimates for the critical semilinear wave equation
Decay estimates of heat transfer to melton polymer flow in pipes with viscous dissipation.
Decay estimates of solutions of a nonlinearly damped semilinear wave equation
We consider an initial boundary value problem for the equation . We first prove local and global existence results under suitable conditions on f and g. Then we show that weak solutions decay either algebraically or exponentially depending on the rate of growth of g. This result improves and includes earlier decay results established by the authors.
Decay for travelling waves in the Gross–Pitaevskii equation
Decay of positive waves in nonlinear systems of conservation laws
Decay of solutions of a degenerate hyperbolic equation.
Decay of solutions of a nonlinear hyperbolic system in noncylindrical domain.
Decay of solutions of a system of nonlinear Klein-Gordon equations.