Evolution Equations and Control Theory: latest papers http://www.aimsciences.org/test_aims/journals/rss.jsp?journalID=25 Latest articles for selected journal http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8415 Preface: Introduction to the Special Volume on Nonlinear PDEs and Control Theory with Applications http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8415 Nonlinear PDEs and Control Theory with Applications held at the 9th AIMS conference on Dynamical Systems, Differential Equations and Applications in Orlando, July 1--5, 2012.

For more information please click the “Full Text” above. ]]> Lorena Bociu, Barbara Kaltenbacher and Petronela Radu Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8416 Stability analysis of non-linear plates coupled with Darcy flows http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8416 Eugenio Aulisa, Akif Ibragimov and Emine Yasemen Kaya-Cekin Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8417 Rational decay rates for a PDE heat--structure interaction: A frequency domain approach http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8417 optimal value $\alpha =1$; hence, the optimal decay rate $o(t^{-1})$. See Remarks 1.2,1.3. ]]> George Avalos and Roberto Triggiani Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8418 Regular solutions of wave equations with super-critical sources and exponential-to-logarithmic damping http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8418 5$ in 3D. Such sources have been a major challenge in the investigation of finite-energy ($H^1 \times L^2$) solutions to wave PDEs for many years. The wellposedness has been settled in part, but even the local existence, for instance, in 3 dimensions requires the relation $p\leq 6m/(m+1)$ between the exponents $p$ of the source and $m$ of the viscous damping.
    We prove that smooth initial data ($H^2 \times H^1$) yields regular solutions that do not depend on the above correlation. Local existence is demonstrated for any source exponent $p\geq 1$ and any monotone damping including feedbacks growing exponentially or logarithmically at infinity, or with no damping at all. The result holds in dimensions 3 and 4, and with some restrictions on $p$ in dimensions $n\geq 5$. Furthermore, if we assert the classical condition that the damping grows as fast as the source, then these regular solutions are global. ]]> Lorena Bociu, Petronela Radu and Daniel Toundykov Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8419 Avoiding degeneracy in the Westervelt equation by state constrained optimal control http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8419 Christian Clason and Barbara Kaltenbacher Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8420 Higher differentiability in the context of Besov spaces for a class of nonlocal functionals http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8420 Mikil Foss and Joe Geisbauer Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8421 Global existence for exterior problems of semilinear wave equations with the null condition in $2$D http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8421 Hideo Kubo Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8422 A local existence result for a system of viscoelasticity with physical viscosity http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8422 Marta Lewicka and Piotr B. Mucha Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8423 Recovery of the sound speed and initial displacement for the wave equation by means of a single Dirichlet boundary measurement http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8423 Shitao Liu Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8424 Global well-posedness and exponential stability for Kuznetsov's equation in $L_p$-spaces http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8424 Stefan Meyer and Mathias Wilke Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8425 Controllability of a 1-D tank containing a fluid modeled by a Boussinesq system http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8425 Dugan Nina, Ademir Fernando Pazoto and Lionel Rosier Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8426 Nonlinear instability of solutions in parabolic and hyperbolic diffusion http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8426 Stephen Pankavich and Petronela Radu Sat, 1 Jun 2013 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8427 Asymptotic behavior of the solution to the Cauchy problem for the Timoshenko system in thermoelasticity of type III http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=8427 Belkacem Said-Houari and Radouane Rahali Sat, 1 Jun 2013 20:00:00 GMT