DSpace Collection:http://www.openstarts.units.it:80/dspace/handle/10077/39192016-10-25T01:34:11Z2016-10-25T01:34:11ZFundamental Solutions for Hyperbolic Operators with Variable CoefficientsYagdjian, Karenhttp://www.openstarts.units.it:80/dspace/handle/10077/39312011-03-29T07:52:28Z2010-01-01T00:00:00ZTitle: Fundamental Solutions for Hyperbolic Operators with Variable Coefficients
Authors: Yagdjian, Karen
Abstract: In this article we describe a new method to construct fundamental solutions for operators with variable coefficients. That method was introduced in {\it J. Differential Equations} {\bf 206} (2004), 227-252, to study the Tricomi-type equation. More precisely, the new integral operator is suggested which transforms the family of the fundamental solutions of the Cauchy problem for the equation with the constant coefficients to the fundamental solutions for the operators with variable coefficients.
Type: Article2010-01-01T00:00:00ZEnergy Inequalities and Dispersive Estimates for Wave Equations with Time-Dependent CoefficientsWirth, Jenshttp://www.openstarts.units.it:80/dspace/handle/10077/39302011-03-29T07:51:18Z2010-01-01T00:00:00ZTitle: Energy Inequalities and Dispersive Estimates for Wave Equations with Time-Dependent Coefficients
Authors: Wirth, Jens
Abstract: We consider wave models with lower order terms and survey some recent results on energy and dispersive estimates for their solution based on symbolic type estimates for coefficients and partly stabilisation conditions. The exposition is complemented by a collection of open problems.
Type: Article2010-01-01T00:00:00ZAn Elementary Hilbert Space Approach to Evolutionary Partial Differential EquationsPicard, Rainerhttp://www.openstarts.units.it:80/dspace/handle/10077/39292011-03-29T07:50:18Z2010-01-01T00:00:00ZTitle: An Elementary Hilbert Space Approach to Evolutionary Partial Differential Equations
Authors: Picard, Rainer
Abstract: The purpose of this paper is to provide a survey of an approach to evolutionary problems originally developed in {\it Int. J. Pure Appl. Math.} {\bf 50}, No. 2, (2009) 283-288, and {\it Math. Methods Appl. Sci.} {\bf 32}, No. 14, (2009) 1768-1803, for a special case. The ideas are extended to a much larger problem class and the utility of the approach is exemplified by a Robin type initial boundary value problem for acoustic waves. The paper concludes
with an outlook to open directions of further research.
Type: Article2010-01-01T00:00:00ZOn Wave Equations with Dissipation IINakazawa, Hideohttp://www.openstarts.units.it:80/dspace/handle/10077/39282011-03-29T07:48:13Z2010-01-01T00:00:00ZTitle: On Wave Equations with Dissipation II
Authors: Nakazawa, Hideo
Abstract: Our recent results on wave equations with dissipation are surveyed and resolvent estimates
for stationary dissipative wave equations in an exterior domain are also proved.
Type: Article2010-01-01T00:00:00Z