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Discrete & Continuous Dynamical Systems - S

September 2009 , Volume 2 , Issue 3

Note: the order of papers is in accordance with the alphabetic order of the corresponding authors.

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Irena Lasiecka, Mitsuhiro Nakao and Grozdena Todorova
2009, 2(3): i-ii doi: 10.3934/dcdss.2009.2.3i +[Abstract](899) +[PDF](28.4KB)
Semigroup well-posedness in the energy space of a parabolic-hyperbolic coupled Stokes-Lamé PDE system of fluid-structure interaction
George Avalos and Roberto Triggiani
2009, 2(3): 417-447 doi: 10.3934/dcdss.2009.2.417 +[Abstract](1329) +[PDF](343.2KB)
Singularly non-autonomous semilinear parabolic problems with critical exponents
Alexandre Nolasco de Carvalho and Marcelo J. D. Nascimento
2009, 2(3): 449-471 doi: 10.3934/dcdss.2009.2.449 +[Abstract](832) +[PDF](289.0KB)
On boundary regularity of solutions to Maxwell's equations with a homogeneous conservative boundary condition
M. Eller
2009, 2(3): 473-481 doi: 10.3934/dcdss.2009.2.473 +[Abstract](1199) +[PDF](154.0KB)
Fundamental solutions for wave equation in Robertson-Walker model of universe and $L^p-L^q$ -decay estimates
Karen Yagdjian and Anahit Galstian
2009, 2(3): 483-502 doi: 10.3934/dcdss.2009.2.483 +[Abstract](895) +[PDF](262.2KB)
Global existence and exponential decay rates for the Westervelt equation
Barbara Kaltenbacher and Irena Lasiecka
2009, 2(3): 503-523 doi: 10.3934/dcdss.2009.2.503 +[Abstract](1363) +[PDF](239.8KB)
Hypercontractivity, Hopf-Lax type formulas, Ornstein-Uhlenbeck operators (II)
Antonio Avantaggiati and Paola Loreti
2009, 2(3): 525-545 doi: 10.3934/dcdss.2009.2.525 +[Abstract](961) +[PDF](241.7KB)
Uniform stabilization of anisotropic Maxwell's equations with boundary dissipation
Cleverson R. da Luz and Gustavo Alberto Perla Menzala
2009, 2(3): 547-558 doi: 10.3934/dcdss.2009.2.547 +[Abstract](1142) +[PDF](173.8KB)
Stability of the heat and of the wave equations with boundary time-varying delays
Serge Nicaise, Julie Valein and Emilia Fridman
2009, 2(3): 559-581 doi: 10.3934/dcdss.2009.2.559 +[Abstract](1539) +[PDF](248.1KB)
On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms
Claudianor O. Alves, M. M. Cavalcanti, Valeria N. Domingos Cavalcanti, Mohammad A. Rammaha and Daniel Toundykov
2009, 2(3): 583-608 doi: 10.3934/dcdss.2009.2.583 +[Abstract](1715) +[PDF](327.1KB)
Higher order energy decay rates for damped wave equations with variable coefficients
Petronela Radu, Grozdena Todorova and Borislav Yordanov
2009, 2(3): 609-629 doi: 10.3934/dcdss.2009.2.609 +[Abstract](925) +[PDF](244.0KB)
Interface conditions for a singular reaction-diffusion system
Thomas I. Seidman
2009, 2(3): 631-643 doi: 10.3934/dcdss.2009.2.631 +[Abstract](913) +[PDF](420.5KB)
Unique continuation of boundary over-determined Stokes and Oseen eigenproblems
Roberto Triggiani
2009, 2(3): 645-677 doi: 10.3934/dcdss.2009.2.645 +[Abstract](787) +[PDF](381.8KB)
The semilinear Klein-Gordon equation in de Sitter spacetime
Karen Yagdjian
2009, 2(3): 679-696 doi: 10.3934/dcdss.2009.2.679 +[Abstract](987) +[PDF](223.3KB)
On shallow shell equations
Peng-Fei Yao
2009, 2(3): 697-722 doi: 10.3934/dcdss.2009.2.697 +[Abstract](927) +[PDF](305.1KB)

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