David Karapetyan

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All published works

Action	Title	Year	Authors
+ PDF Chat	Ill-posedness results for generalized Boussinesq equations	2013	Dan-Andrei Geba A. Alexandrou Himonas David Karapetyan
+	Ill-posedness results for generalized Boussinesq equations	2012	Dan-Andrei Geba A. Alexandrou Himonas David Karapetyan
+	An ill-posedness result for the Boussinesq equation	2012	Dan-Andrei Geba A. Alexandrou Himonas David Karapetyan
+	Ill-posedness results for generalized Boussinesq equations	2012	Dan-Andrei Geba A. Alexandrou Himonas David Karapetyan
+	H\"older Continuity of the Data to Solution Map for HR in the Weak Topology	2011	David Karapetyan
+	Hölder Continuity of the Data to Solution Map for HR in the Weak Topology	2011	David Karapetyan
+	Non-uniform dependence and well-posedness for the hyperelastic rod equation	2010	David Karapetyan

Common Coauthors

Coauthor	Papers Together
Dan-Andrei Geba	4
A. Alexandrou Himonas	4

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Existance and Uniqueness for Boussinesq type equations on a circle	1996	Yung Fu Fang Manoussos G. Grillakis	3
+	Global Existence of Small Solutions for a Generalized Boussinesq Equation	1993	Felipe Linares	3
+	Sharp well-posedness and ill-posedness results for a quadratic non-linear Schrödinger equation	2005	Ioan Bejenaru Terence Tao	3
+	Nonstable solitons and sharp criteria for wave collapse	1993	Sergei K. Turitsyn	2
+ PDF Chat	The stability of solitary waves	1972	T. Brooke Benjamin	2
+	Local well‐posedness and blow‐up criteria of solutions for a rod equation	2005	Yong Zhou	2
+ PDF Chat	Local Solutions in Sobolev Spaces with Negative Indices for the “Good” Boussinesq Equation	2009	Luiz Gustavo Farah	2
+ PDF Chat	Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation	1988	Jerry L. Bona Robert L. Sachs	2
+	Sharp local well-posedness for the "good" Boussinesq equation	2012	Nobu Kishimoto	2
+	Non-Uniform Dependence for the Periodic CH Equation	2010	A. Alexandrou Himonas Carlos E. Kenig Gerard Misiołek	2
+ PDF Chat	Global Conservative Solutions of the Camassa–Holm Equation	2006	Alberto Bressan Adrian Constantin	2
+	Sharp well-posedness results for the BBM equation	2008	Jerry L. Bona Nikolay Tzvetkov	2
+	Model equations for long waves in nonlinear dispersive systems	1972	T. Brooke Benjamin Jerry L. Bona J. J. Mahony	2
+ PDF Chat	Improved local well-posedness for the periodic “good” Boussinesq equation	2013	Seungly Oh Atanas Stefanov	2
+	Local solutions in Sobolev spaces and unconditional well-posedness for the generalized Boussinesq equation	2009	Luiz Gustavo Farah	2
+	On the periodic “good” Boussinesq equation	2009	Luiz Gustavo Farah M. Scialom	2
+ PDF Chat	On the Cauchy Problem for a Nonlinearly Dispersive Wave Equation	2003	Zhaoyang Yin	2
+ PDF Chat	Global rough solutions to the cubic nonlinear Boussinesq equation	2009	Luiz Gustavo Farah Felipe Linares	2
+	Stability of a class of solitary waves in compressible elastic rods	2000	Adrian Constantin Walter A. Strauss	2
+	Quasi-linear equations of evolution, with applications to partial differential equations	1975	Tosio Kato	2
+	Sharp ill-posedness and well-posedness results for the KdV-Burgers equation: The periodic case	2012	Luc Molinet Stéphane Vento	2
+	Non-uniform dependence on initial data for the CH equation on the line	2009	A. Alexandrou Himonas Carlos E. Kenig	2
+	Commutator estimates and the euler and navier‐stokes equations	1988	Tosio Kato Gustavo Ponce	1
+ PDF Chat	Non-uniform continuity in $H\sp 1$ of the solution map of the CH equation	2007	A. Alexandrou Himonas Gerard Misiołek Gustavo Ponce	1
+ PDF Chat	H1-perturbations of Smooth Solutions for a Weakly Dissipative Hyperelastic-rod Wave Equation	2006	Mostafa Bendahmane Giuseppe Maria Coclite Kenneth H. Karlsen	1
+	Blow-up in the Boussinesq equation	1993	Sergei K. Turitsyn	1
+	Remark on the local ill-posedness for KdV equation	1999	N. Tzvetkov	1
+	Pseudodifferential Operators and Nonlinear PDE	1991	Michael E. Taylor	1
+ PDF Chat	Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations	2003	Michael Christ J. Colliander T. Tao	1
+ PDF Chat	The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations	2008	Adrian Constantin David Lannes	1
+ PDF Chat	On Well-Posedness Results for Camassa-Holm Equation on the Line: A Survey	2004	Luc Molinet	1
+ PDF Chat	A bilinear estimate with applications to the KdV equation	1996	Carlos E. Kenig Gustavo Ponce Luis Vega	1
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain	1
+ PDF Chat	Non-uniform dependence on initial data for a family of non-linear evolution equations	2006	Erika A. Olson	1
+	Multiple solutions for semilinear elliptic equations with nonlinear boundary conditions	2012	Junichi Harada Mitsuharu Ôtani	1
+ PDF Chat	Non-uniform dependence on initial data for the CH equation on the line	2009	A. Alexandrou Himonas Carlos E. Kenig	1
+ PDF Chat	Sharp ill-posedness and well-posedness results for the KdV-Burgers equation: the real line case	2011	Luc Molinet Stéphane Vento	1
+	Nonlinear wave interactions for the Benjamin-Ono equation	2004	Herbert Koch Nikolay Tzvetkov	1
+ PDF Chat	The Cauchy problem for an integrable shallow-water equation	2001	A. Alexandrou Himonas Gerard Misiołek	1
+ PDF Chat	On the ill-posedness result for the BBM equation	2011	Mahendra Panthee	1
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	1
+	Sharp well-posedness and ill-posedness results for a quadratic non-linear Schrödinger equation	2005	Ioan Bejenaru Terence Tao	1
+	Interpolation of Operators	1988	Curtis D. Bennett M Sharpley	1
+ PDF Chat	Local well-posedness for quadratic nonlinear Schrödinger equations and the ``good'' Boussinesq equation	2010	Nobu Kishimoto Kotaro Tsugawa	1
+	Real Analysis: Modern Techniques and Their Applications	1984	Gerald B. Folland	1
+	An ill-posedness result for the Boussinesq equation	2012	Dan-Andrei Geba A. Alexandrou Himonas David Karapetyan	1
+	None	2005	A. Alexandrou Himonas Gerard Misiołek	1
+ PDF Chat	Ill-posedness results for the (generalized) Benjamin-Ono-Zakharov-Kuznetsov equation	2010	Amin Esfahani Ademir Pastor	1
+	Improved local well-posedness for the periodic "good" Boussinesq equation	2012	Seungly Oh Atanas Stefanov	1
+	On the ill-posedness of some canonical dispersive equations	2001	Carlos E. Kenig Gustavo Ponce Luis Vega	1