Renato Manfrin

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All published works

Action	Title	Year	Authors
+	Notes on a paper of Pokhozhaev	2023	Chiara Boiti Renato Manfrin
+	Notes on a paper of Pokhozhaev	2023	Chiara Boiti Renato Manfrin
+	On the asymptotic boundedness of the energy of solutions of the wave equation u tt − a(t)Δu = 0	2012	Chiara Boiti Renato Manfrin
+ PDF Chat	Propagation of analyticity in the C∞ solutions of quasi-linear weakly hyperbolic wave equations	2011	Renato Manfrin
+	On the global solvability of the Cauchy problem for damped Kirchhoff equations	2010	Renato Manfrin
+	A note on linear perturbations of oscillatory second order differential equations	2010	Renato Manfrin
+	Kirchhoff equations in $B^{k}_{\Delta}$ classes	2009	Renato Manfrin
+ PDF Chat	Lp Solutions of Second Order Differential Equations	2009	Renato Manfrin
+ PDF Chat	Quadratic forms for the Liouville equation wtt + λ2a(t)w = 0 with applications to Kirchhoff equation	2008	Renato Manfrin
+ PDF Chat	On the boundedness of solutions of the equation $u''+(1+f(t))u=0$	2008	Renato Manfrin
+	ON THE CLASSICAL SOLUTIONS OF THE MOTION OF AN ELASTIC STRING IN AN n-DIMENSIONAL SPACE	2007	Renato Manfrin
+	On the global solvability of Kirchhoff equation for non-analytic initial data	2005	Renato Manfrin
+	On a theorem by Sohr for the Navier-Stokes equations	2004	Luigi C. Berselli Renato Manfrin
+	On the breakdown of classical solutions of the planar motion of an elastic string	2004	Renato Manfrin
+	Formation of singularities for certain hyperbolic systems in one space dimension	2002	Renato Manfrin
+	On the breakdown of solutions to N×N quasilinear hyperbolic systems	2002	Renato Manfrin
+	Global solvability to the Kirchhoff equation for a new class of initial data.	2002	Renato Manfrin
+	Formation of Singularities for Weakly Non-Linear N×N Hyperbolic Systems	2001	Chiara Boiti Renato Manfrin
+	A Note on the Formation of Singularities for Quasi-Linear Hyperbolic Systems	2000	Renato Manfrin
+	Global small solutions to Klein–Gordon-type equations with non-local non-linearities	1999	Emanuele Callegari Renato Manfrin
+	Well posedness in the C∞ class for utt=a(u)Δu	1999	Renato Manfrin
+ PDF Chat	On global small solutions of nonlinear Timoshenko's type equations	1998	Renato Manfrin
+	Global solutions to kirchhoff equations with non-local nonlinearities defined by a potential	1998	Renato Manfrin
+ PDF Chat	PROPAGATION ALONG COMPLEX CURVES ON A HYPERSURFACE	1998	Renato Manfrin Alberto Scalari Giuseppe Zampieri
+ PDF Chat	On the global solvability of symmetric hyperbolic systems of Kirchhoff type	1997	Renato Manfrin
+	Global Existence for Nonlinear Hyperbolic Systems of Kirchhoff Type	1996	Emanuele Callegari Renato Manfrin
+	Analytic regularity for a class of semi-linear weakly hyperbolic equations of second order	1996	Renato Manfrin
+	Local solvability in c<sup>∞</sup>for quasi-linear weakly hyperbolic equations of second order	1996	Renato Manfrin
+ PDF Chat	A class of locally solvable semilinear equations of weakly hyperbolic type	1995	Piero DʼAncona Renato Manfrin
+	A solvability result for a nonlinear weakly hyperbolic equation of second order	1995	Renato Manfrin
+ PDF Chat	Levi condition and analytic regularity for quasi-linear weakly hyperbolic equations of second order	1995	Renato Manfrin Francesco Tonin
+	Some results of Gevrey and analytic regularity for semilinear weakly hyperbolic equations of Oleinik type	1995	Renato Manfrin
+ PDF Chat	The Cauchy problem in abstract Gevrey spaces for a nonlinear weakly hyperbolic equation of second order	1994	Piero D’Ancona Renato Manfrin
+	A remark on global smooth solutions for quasilinear wave equations	1994	Renato Manfrin

Common Coauthors

Coauthor	Papers Together
Chiara Boiti	4
Piero D’Ancona	2
Emanuele Callegari	2
Giuseppe Zampieri	1
Francesco Tonin	1
Alberto Scalari	1
Luigi C. Berselli	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On a Global Solution of Some Quasilinear Hyperbolic Equation	1984	Kenji Nishihara	7
+	On classical solutions of a quasilinear hyperbolic equation	1979	G. Perla Menzala	6
+	On the cauchy problem for weakly hyperbolic equations	1970	O A Oleĭnik	6
+	Formation of singularities for wave equations including the nonlinear vibrating string	1980	Sergiù Klainerman Andrew J. Majda	6
+	Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations	1979	Tai-Ping Liu	6
+	ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS	1975	Stanislav I. Pohožaev	6
+ PDF Chat	An example of a weakly hyperbolic Cauchy problem not well posed in C∞	1982	Ferruccio Colombini Sergio Spagnolo	5
+	The cauchy problem for weakly hyperbolic equations of second order	1980	Tatsuo Nishitani	5
+ PDF Chat	Gevrey Well-Posedness of an Abstract Cauchy Problem of Weakly Hyperbolic Type	1988	Piero DʼAncona	5
+ PDF Chat	A necessary and sufficient condition for the hyperbolicity of second order equations with two independent variables	1984	Tatsuo Nishitani	5
+ PDF Chat	Local solution of Cauchy problem for nonlinear hyperbolic systems in Gevrey classes	1983	Kunihiko Kajitani	5
+	Global classical solutions for general quasilinear hyperbolic systems with decay initial data	1997	Tatsien Li Yi Zhou De-Xing Kong	5
+	A Note on the Formation of Singularities for Quasi-Linear Hyperbolic Systems	2000	Renato Manfrin	4
+	Some existence theorems for hyperbolic systems of partial differential equations in two independent variables	1952	Avron Douglis	4
+	The Cauchy problem for Kirchhoff equations	1992	Sergio Spagnolo	4
+	On an Abstract Weakly Hyperbolic Equation Modelling the Nonlinear Vibrating String	1992	Piero D’Ancona Sergio Spagnolo	4
+ PDF Chat	On some quasilinear wave equations with dissipative terms	1982	Yoshio Yamada	4
+	Hyperbolic systems of conservation laws II	1957	Peter D. Lax	4
+	Weak linear degeneracy and global classical solutions for general quasilinear hyperbolic systems	1994	Tatsien Li Yi Zhou De-Xing Kong	4
+	Non-Uniqueness in Hyperbolic Cauchy Problems	1987	F. Colombini Enrico Jannelli Sergio Spagnolo	4
+	On local strong solutions of a nonlinear partial differential equation	1980	Pedro Humberto Rivera Rodriguezt Jack K. Hale P. H. Rivera	4
+	Global regularity and formation of singularities of solutions to first order quasilinear hyperbolic systems	1981	Lee Da-Tsin	4
+	Blow up of periodic solutions to quasilinear hyperbolic systems	1996	Tatsien Li De-Xing Kong	4
+ PDF Chat	Racine carrée d'une fonction différentiable	1963	Georges Glaeser	3
+	Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity	1977	Thomas J.R. Hughes Tosio Kato Jerrold E. Marsden	3
+	A class of nonlinear hyperbolic problems with global solutions	1993	Piero DʼAncona Sergio Spagnolo	3
+	Development of singularities for nonlinear hyperbolic systems with periodic data	1996	Ferruccio Colombini Daniele Del Santo	3
+	Sur les équations hyperboliques avec des coefficients qui ne dépendent que du temps	1979	Ferruccio Colombini Ennio De Giorgi Sergio Spagnolo	3
+	Formation of singularities fornonlinear hyperbolic 2$times$2 systems with periodic data	1997	F. Colombini Del . Santo D	3
+	A stability property of solutions of linear differential equations	1944	Richard Bellman	3
+	Well posedness in $C^\infty $ for a weakly hyperbolic second order equation	1994	Piero DʼAncona	3
+	Nonlinear Wave Equations, Formation of Singularities	1990	Fritz John	3
+ PDF Chat	On smooth global solutions of a Kirchhoff type equation on unbounded domains	1995	G. Perla Menzala Jardel Morais Pereira	3
+ PDF Chat	On the Well-Posedness of the Kirchhoff String	1996	Alberto Arosio Stefano Panizzi	3
+	Existence and nonexistence in the large of solutions of quasilinear wave equations	1967	R. C. MacCamy V. J. Mizel	3
+	The inverse function theorem of Nash and Moser	1982	Richard S. Hamilton	3
+ PDF Chat	Infinite systems of nonlinear oscillation equations related to the string	1969	R. W. Dickey	3
+ PDF Chat	Quadratic forms for the Liouville equation wtt + λ2a(t)w = 0 with applications to Kirchhoff equation	2008	Renato Manfrin	3
+ PDF Chat	On the breakdown phenomena of solutions of quasilinear wave equations.	1976	Peter H. Chang	3
+	On Hyperbolic Partial Differential Equations	1952	Philip Hartman Aurel Wintner	3
+	Periodic vibrations of systems governed by nonlinear partial differential equations	1966	Joseph B. Keller Lu Ting	3
+	Lectures on Nonlinear Hyperbolic Differential Equations	1997	Lars Hörmander	3
+	A solvability result for a nonlinear weakly hyperbolic equation of second order	1995	Renato Manfrin	2
+	Infinite Systems of Nonlinear Oscillation Equations with Linear Damping	1970	R. W. Dickey	2
+	The Equations for Large Vibrations of Strings	1980	Stuart S. Antman	2
+	Globally smooth solutions of quasilinear hyperbolic systems in diagonal form	1982	David Hoff	2
+	Stability Theory of Differential Equations.	1954	J. J. L. Hinrichsen Richard Bellman	2
+	On stability conditions for second order linear differential equations	1979	Ian Knowles	2
+	�quations et Syst�mes Non-Lin�aires, Hyperboliques Non-Stricts	1967	Jean Leray Yujiro Ohya	2
+	Breakdown of classical solutions to quasilinear hyperbolic systems	2000	Tatsien Li De-Xing Kong	2