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Evolution Equations & Control Theory

June 2013 , Volume 2 , Issue 2

Special issue on Nonlinear

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Preface: Introduction to the Special Volume on Nonlinear PDEs and Control Theory with Applications
Lorena Bociu, Barbara Kaltenbacher and Petronela Radu
2013, 2(2): i-ii doi: 10.3934/eect.2013.2.2i +[Abstract](892) +[PDF](93.4KB)
Stability analysis of non-linear plates coupled with Darcy flows
Eugenio Aulisa, Akif Ibragimov and Emine Yasemen Kaya-Cekin
2013, 2(2): 193-232 doi: 10.3934/eect.2013.2.193 +[Abstract](1006) +[PDF](606.1KB)
Rational decay rates for a PDE heat--structure interaction: A frequency domain approach
George Avalos and Roberto Triggiani
2013, 2(2): 233-253 doi: 10.3934/eect.2013.2.233 +[Abstract](1406) +[PDF](610.3KB)
Regular solutions of wave equations with super-critical sources and exponential-to-logarithmic damping
Lorena Bociu, Petronela Radu and Daniel Toundykov
2013, 2(2): 255-279 doi: 10.3934/eect.2013.2.255 +[Abstract](888) +[PDF](560.5KB)
Avoiding degeneracy in the Westervelt equation by state constrained optimal control
Christian Clason and Barbara Kaltenbacher
2013, 2(2): 281-300 doi: 10.3934/eect.2013.2.281 +[Abstract](866) +[PDF](560.5KB)
Higher differentiability in the context of Besov spaces for a class of nonlocal functionals
Mikil Foss and Joe Geisbauer
2013, 2(2): 301-318 doi: 10.3934/eect.2013.2.301 +[Abstract](835) +[PDF](387.0KB)
Global existence for exterior problems of semilinear wave equations with the null condition in $2$D
Hideo Kubo
2013, 2(2): 319-335 doi: 10.3934/eect.2013.2.319 +[Abstract](834) +[PDF](431.6KB)
A local existence result for a system of viscoelasticity with physical viscosity
Marta Lewicka and Piotr B. Mucha
2013, 2(2): 337-353 doi: 10.3934/eect.2013.2.337 +[Abstract](920) +[PDF](455.9KB)
Recovery of the sound speed and initial displacement for the wave equation by means of a single Dirichlet boundary measurement
Shitao Liu
2013, 2(2): 355-364 doi: 10.3934/eect.2013.2.355 +[Abstract](752) +[PDF](312.3KB)
Global well-posedness and exponential stability for Kuznetsov's equation in $L_p$-spaces
Stefan Meyer and Mathias Wilke
2013, 2(2): 365-378 doi: 10.3934/eect.2013.2.365 +[Abstract](899) +[PDF](415.0KB)
Controllability of a 1-D tank containing a fluid modeled by a Boussinesq system
Dugan Nina, Ademir Fernando Pazoto and Lionel Rosier
2013, 2(2): 379-402 doi: 10.3934/eect.2013.2.379 +[Abstract](828) +[PDF](455.5KB)
Nonlinear instability of solutions in parabolic and hyperbolic diffusion
Stephen Pankavich and Petronela Radu
2013, 2(2): 403-422 doi: 10.3934/eect.2013.2.403 +[Abstract](836) +[PDF](436.9KB)
Asymptotic behavior of the solution to the Cauchy problem for the Timoshenko system in thermoelasticity of type III
Belkacem Said-Houari and Radouane Rahali
2013, 2(2): 423-440 doi: 10.3934/eect.2013.2.423 +[Abstract](1135) +[PDF](439.4KB)

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