Arturo de Pablo

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Blow-up for a double nonlocal heat equation	2024	Raúl Ferreira Arturo de Pablo
+ PDF Chat	Positivity and asymptotic behaviour of solutions to a generalized nonlocal fast diffusion equation	2024	Arturo de Pablo Fernando Quirós Jorge Ruiz-Cases
+	Blow-Up for a Double Nonlocal Heat Equation	2024	Raúl Ferreira Arturo de Pablo
+ PDF Chat	Blow-up for a fully fractional heat equation	2023	Raúl Ferreira Arturo de Pablo
+	Blow-up for a fully fractional heat equation	2022	Raúl Ferreira Arturo de Pablo
+ PDF Chat	Extremals in Hardy-Littlewood-Sobolev inequalities for stable processes	2021	Arturo de Pablo Fernando Quirós Antonella Ritorto
+	A nonlinear diffusion equation with reaction localized to the half-line	2021	Raúl Ferreira Arturo de Pablo
+	Extremals in Hardy-Littlewood-Sobolev inequalities for stable processes.	2021	Arturo de Pablo Fernando Quirós Antonella Ritorto
+	A nonlinear diffusion equation with reaction localized in the half-line	2021	Raúl Ferreira Arturo de Pablo
+	A nonlinear diffusion equation with reaction localized to the half-line	2021	Raúl Ferreira Arturo de Pablo
+	Extremals in Hardy-Littlewood-Sobolev inequalities for stable processes	2021	Arturo de Pablo Fernando Quirós Antonella Ritorto
+ PDF Chat	Anisotropic nonlocal diffusion equations with singular forcing	2020	Ana Alonso Rodríguez Arturo de Pablo Fernando Quirós
+	Grow-up for a quasilinear heat equation with a localized reaction	2019	Raúl Ferreira Arturo de Pablo
+ PDF Chat	Remarks on a nonlinear nonlocal operator in Orlicz spaces	2019	Ernesto Correa Arturo de Pablo
+	Anisotropic nonlocal diffusion equations with singular forcing	2018	Arturo de Pablo Fernando Quirós Ana Alonso Rodríguez
+	Remarks on a nonlinear nonlocal operator in Orlicz spaces	2018	Ernesto Correa Arturo de Pablo
+ PDF Chat	Regularity theory for singular nonlocal diffusion equations	2018	Arturo de Pablo Fernando Quirós Ana Alonso Rodríguez
+	Grow-up for a quasilinear heat equation with a localized reaction	2018	Raúl Ferreira Arturo de Pablo
+	Grow-up for a quasilinear heat equation with a localized reaction in higher dimensions	2018	Raúl Ferreira Arturo de Pablo
+ PDF Chat	Nonlocal heat equations: Regularizing effect, decay estimates and Nash inequalities	2018	Cristina Brändle Arturo de Pablo
+	Anisotropic nonlocal diffusion equations with singular forcing	2018	Arturo de Pablo Fernando Quirós Ana M. Rodrı́guez
+	Remarks on a nonlinear nonlocal operator in Orlicz spaces	2018	Ernesto Bribiesca Correa Arturo de Pablo
+	Grow-up for a quasilinear heat equation with a localized reaction in higher dimensions	2018	Raúl Ferreira Arturo de Pablo
+	Grow-up for a quasilinear heat equation with a localized reaction	2018	Raúl Ferreira Arturo de Pablo
+	Nonlocal operators of order near zero	2017	Ernesto Correa Arturo de Pablo
+	Nonlocal operators of order near zero	2017	Ernesto Correa Arturo de Pablo
+	Regularity theory for singular nonlocal diffusion equations	2017	Arturo de Pablo Fernando Quirós Ana Alonso Rodríguez
+ PDF Chat	Classical solutions and higher regularity for nonlinear fractional diffusion equations	2017	Juan Luís Vázquez Arturo de Pablo Fernando Quirós Ana Alonso Rodríguez
+	Regularity theory for singular nonlocal diffusion equations	2017	Arturo de Pablo Fernando Quirós Ana M. Rodrı́guez
+	Nonlocal operators of order near zero	2017	Ernesto Bribiesca Correa Arturo de Pablo
+ PDF Chat	Nonlocal filtration equations with rough kernels	2016	Arturo de Pablo Fernando Quirós Ana Alonso Rodríguez
+ PDF Chat	Perturbations of a critical fractional equation	2014	Eduardo Colorado Arturo de Pablo Urko Sánchez
+	Classical solutions for a logarithmic fractional diffusion equation	2014	Arturo de Pablo Fernando Quirós Ana Alonso Rodríguez Juan Luís Vázquez
+	Decay estimates for linear and nonlinear nonlocal heat equations	2013	Cristina Brändle Arturo de Pablo
+	Classical solutions and higher regularity for nonlinear fractional diffusion equations	2013	Juan Luís Vázquez Arturo de Pablo Fernando Quirós Ana Alonso Rodríguez
+	Nonlocal heat equations: decay estimates and Nash inequalities	2013	Cristina Brändle Arturo de Pablo
+	Classical solutions and higher regularity for nonlinear fractional diffusion equations	2013	Juan Luís Vázquez Arturo de Pablo Fernando Quirós Ana Rodríguez
+	The Cauchy problem for a nonhomogeneous heat equation with reaction	2012	Arturo de Pablo Guillermo Reyes Ariel Sánchez
+ PDF Chat	A General Fractional Porous Medium Equation	2012	Arturo de Pablo Fernando Quirós Ana Alonso Rodríguez Juan Luís Vázquez
+	Classical solutions for a logarithmic fractional diffusion equation	2012	Arturo de Pablo Fernando Quirós Ana Alonso Rodríguez Juan Luís Vázquez
+	Classical solutions for a logarithmic fractional diffusion equation	2012	Arturo de Pablo Fernando Quirós Ana Rodríguez Juan Luís Vázquez
+	A general fractional porous medium equation	2011	Arturo de Pablo Fernando Quirós Ana Alonso Rodríguez Juan Luís Vázquez
+	A general fractional porous medium equation	2011	Arturo de Pablo Fernando Quirós Ana Rodríguez Juan Luís Vázquez
+	A fractional porous medium equation	2010	Arturo de Pablo Fernando Quirós Ana Alonso Rodríguez Juan Luís Vázquez
+	A concave-convex elliptic problem involving the fractional Laplacian	2010	Cristina Brändle Eduardo Colorado Arturo de Pablo
+	A fractional porous medium equation	2010	Arturo de Pablo Fernando Quirós Ana Alonso Rodríguez Juan Luís Vázquez
+	A concave-convex elliptic problem involving the fractional Laplacian	2010	Cristina Brändle Eduardo Colorado Arturo de Pablo
+	A fractional porous medium equation	2010	Arturo de Pablo Fernando Quirós Ana Rodríguez Juan Luís Vázquez
+ PDF Chat	Stability of the blow-up time and the blow-up set under perturbations	2009	José M. Arrieta Raúl Ferreira Arturo de Pablo Julio D. Rossi
+	CRITICAL COEFFICIENTS IN BLOW-UP PROBLEMS	2009	Arturo de Pablo
+	Blow-up for a heat equation with convection and boundary flux	2008	Arturo de Pablo Guillermo Reyes Ariel Sánchez
+	Incomplete quenching in a system of heat equations coupled at the boundary	2008	Raúl Ferreira Arturo de Pablo Mayte Pérez‐Llanos Julio D. Rossi
+ PDF Chat	Blow-up with logarithmic nonlinearities	2007	Raúl Ferreira Arturo de Pablo Julio D. Rossi
+	Numerical blow-up for the $p$-Laplacian equation with a nonlinear source	2007	Raúl Ferreira Arturo de Pablo Mayte Pérez‐Llanos
+	Classification of blow-up with nonlinear diffusion and localized reaction	2006	Raúl Ferreira Arturo de Pablo Juan Luís Vázquez
+	Long time behaviour for a nonlinear first-order equation	2006	Arturo de Pablo Guillermo Reyes
+	An introduction to the problem of blow-up for semilinear and quasilinear parabolic equations	2006	Arturo de Pablo
+ PDF Chat	Non-simultaneous quenching in a system of heat equations coupled at the boundary	2006	Raúl Ferreira Arturo de Pablo Fernando Quirós Julio D. Rossi
+	The Interfaces of an Inhomogeneous Porous Medium Equation with Convection	2006	Raúl Ferreira Arturo de Pablo Guillermo Reyes Ariel Sánchez
+ PDF Chat	Blow-up for a degenerate diffusion problem not in divergence form	2006	Arturo de Pablo Raúl Ferreira Julio D. Rossi
+ PDF Chat	Numerical Blow-up for the p-Aplacian Equation with a Source	2005	Raúl Ferreira Arturo de Pablo
+	Superfast quenching	2004	Raúl Ferreira Arturo de Pablo Fernando Quirós Julio D. Rossi
+ PDF Chat	The Blow-Up Profile for a Fast Diffusion Equation with a Nonlinear Boundary Condition	2003	Raúl Ferreira Arturo de Pablo Fernando Quirós Julio D. Rossi
+	Self-similar solutions satisfying or not the equation of the interface	2002	Arturo de Pablo Ariel Sánchez
+	Global Travelling Waves in Reaction–Convection–Diffusion Equations	2000	Arturo de Pablo Ariel Sánchez
+	Travelling wave behaviour for a Porous-Fisher equation	1998	Arturo de Pablo Ariel Sánchez
+	Large-time behaviour of solutions of a reaction–diffusion equation	1994	Arturo de Pablo
+	An overdetermined initial and boundary-value problem for a reaction-diffusion equation	1992	Arturo de Pablo Juan Luís Vázquez
+ PDF Chat	Regularity of solutions and interfaces of a generalized porous medium equation inR N	1991	Arturo de Pablo Juan Luís Vázquez
+	Travelling waves and finite propagation in a reaction-diffusion equation	1991	Arturo de Pablo Juan Luís Vázquez
+	The Balance Between Strong Reaction And Slow Diffusion	1990	Arturo de Pablo Juan Luís Vázquez

Common Coauthors

Coauthor	Papers Together
Fernando Quirós	26
Juan Luís Vázquez	17
Raúl Ferreira	16
Ana Alonso Rodríguez	13
Julio D. Rossi	7
Raúl Ferreira	7
Ariel Sánchez	6
Ernesto Correa	4
Ana Rodríguez	4
Eduardo Colorado	3
Antonella Ritorto	3
Cristina Brändle	3
Ernesto Bribiesca Correa	2
Guillermo Reyes	2
Ana M. Rodrı́guez	2
Guillermo Reyes	2
Cristina Brändle	2
Mayte Pérez‐Llanos	2
Urko Sánchez	1
Jorge Ruiz-Cases	1
José M. Arrieta	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	A General Fractional Porous Medium Equation	2012	Arturo de Pablo Fernando Quirós Ana Alonso Rodríguez Juan Luís Vázquez	12
+ PDF Chat	An Extension Problem Related to the Fractional Laplacian	2007	Luis Caffarelli Luís Silvestre	11
+	Hardy-Littlewood theory for semigroups	1985	N. Th. Varopoulos	10
+	The Balance Between Strong Reaction And Slow Diffusion	1990	Arturo de Pablo Juan Luís Vázquez	10
+	Continuity of the temperature in boundary heat control problems	2009	Ioannis Athanasopoulos Luis Caffarelli	10
+ PDF Chat	Regularity of the obstacle problem for a fractional power of the laplace operator	2006	Luís Silvestre	9
+	Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces	1971	Michael G. Crandall Thomas M. Liggett	8
+	The Role of Critical Exponents in Blow-Up Theorems: The Sequel	2000	Keng Deng Howard A. Levine	8
+	Some properties of fractional integrals. I.	1928	G. H. Hardy J. E. Littlewood	7
+	Existence and Nonexistence of Global Solutions forut=Δu+a(x)upinRd	1997	Ross G. Pinsky	7
+	Travelling waves and finite propagation in a reaction-diffusion equation	1991	Arturo de Pablo Juan Luís Vázquez	7
+	On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary	1996	Victor A. Galaktionov Howard A. Levine	7
+	A fractional porous medium equation	2010	Arturo de Pablo Fernando Quirós Ana Alonso Rodríguez Juan Luís Vázquez	6
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	6
+ PDF Chat	Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation	2010	Luis Caffarelli Alexis Vasseur	6
+ PDF Chat	The Role of Critical Exponents in Blowup Theorems	1990	Howard A. Levine	6
+ PDF Chat	The Pohozaev Identity for the Fractional Laplacian	2014	Xavier Ros‐Oton Joaquim Serra	6
+ PDF Chat	Some theorems on stable processes	1960	Robert Blumenthal R. K. Getoor	6
+	Some existence and nonexistence theorems for solutions of degenerate parabolic equations	1984	Howard A. Levine Paul Sacks	6
+	An Introduction to Evolution Governed by Accretive Operators	1976	Michael G. Crandall	6
+	On a class of similarity solutions of the porous media equation	1976	Brian H. Gilding L. A. Peletier	6
+ PDF Chat	The Blow-Up Profile for a Fast Diffusion Equation with a Nonlinear Boundary Condition	2003	Raúl Ferreira Arturo de Pablo Fernando Quirós Julio D. Rossi	6
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	6
+ PDF Chat	A Cauchy problem for $u_t - \Delta u = u^p \ \hbox{with}\ 0 < p < 1$. Asymptotic behaviour of solutions	1987	José Antonio Facenda Aguirre Miguel Escobedo	6
+ PDF Chat	Positive solutions of nonlinear problems involving the square root of the Laplacian	2010	Xavier Cabré Jinggang Tan	5
+ PDF Chat	Local Regularity for Parabolic Nonlocal Operators	2013	Matthieu Felsinger Moritz Kaßmann	5
+	Existence and non-existence of global solutions for a semilinear heat equation	1981	Fred B. Weissler	5
+ PDF Chat	The potential kernel and hitting probabilities for the general stable process in $R\sp{N}$	1969	William E. Pruitt S. J. Taylor	5
+	Blow-Up in Quasilinear Parabolic Equations	1995	Victor A. Galaktionov	5
+ PDF Chat	A concave—convex elliptic problem involving the fractional Laplacian	2013	Cristina Brändle Eduardo Colorado A. de Pablo Urko Sánchez	5
+	Asymptotic simplification for a reaction-diffusion problem with a nonlinear boundary condition	2002	A. de Pablo	4
+ PDF Chat	Symmetric decreasing rearrangement is sometimes continuous	1989	Frederick J. Almgren Élliott H. Lieb	4
+	Classification of blow-up with nonlinear diffusion and localized reaction	2006	Raúl Ferreira Arturo de Pablo Juan Luís Vázquez	4
+	Dual variational methods in critical point theory and applications	1973	Antonio Ambrosetti Paul H. Rabinowitz	4
+ PDF Chat	The initial trace of a solution of the porous medium equation	1983	D. G. Aronson Luis Caffarelli	4
+	Stabilization of solutions of a degenerate nonlinear diffusion problem	1982	Donald G. Aronson Michael G. Crandall L. A. Peletier	4
+ PDF Chat	Blow-up on the boundary: a survey	1996	Марек Фила Ján Filo	4
+ PDF Chat	The porous medium equation in one dimension	1977	Barry F. Knerr	4
+	Classification of solutions for an integral equation	2005	Wenxiong Chen Congming Li Biao Ou	4
+ PDF Chat	The problem Of blow-up in nonlinear parabolic equations	2002	Victor A. Galaktionov Juan Luís Vázquez	4
+	Remarks on sublinear elliptic equations	1986	Haı̈m Brezis Luc Oswald	4
+	Diffusivity versus absorption through the boundary	1992	Ján Filo	4
+	Complete blow-up after Tmax for the solution of a semilinear heat equation	1987	Pierre Baras Liron Cohen	4
+	Positive solutions of nonlinear elliptic equations involving critical sobolev exponents	1983	Haı̈m Brezis Louis Nirenberg	4
+	On Asymptotic Self-Similar Behaviour for a Quasilinear Heat Equation: Single Point Blow-Up	1995	Victor A. Galaktionov	4
+	Blow-up problems for quasilinear parabolic equations	1997	Ryuichi Suzuki	4
+	Blowup in diffusion equations: A survey	1998	Catherine Bandle Hermann Brunner	4
+	Blow-up of positive solutions of semilinear heat equations	1985	Avner Friedman	4
+ PDF Chat	On nonexistence of global solutions of some semilinear parabolic differential equations	1973	Kantaro Hayakawa	4
+	Classical solutions for a logarithmic fractional diffusion equation	2014	Arturo de Pablo Fernando Quirós Ana Alonso Rodríguez Juan Luís Vázquez	4