Alessandra Lunardi

Alessandra Lunardi's AcademicInfluence.com Rankings

Alessandra Lunardi

Mathematics

#4310

World Rank

#6153

Historical Rank

Group Theory

#162

World Rank

#193

Historical Rank

Algebra

#390

World Rank

#539

Historical Rank

Measure Theory

#2637

World Rank

#3156

Historical Rank

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Mathematics

Alessandra Lunardi's Degrees

PhD Mathematics University of Padua
Masters Mathematics University of Padua
Bachelors Mathematics University of Padua

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Why Is Alessandra Lunardi Influential?

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According to Wikipedia, Alessandra Lunardi is an Italian mathematician specializing in mathematical analysis. She is a professor in the department of mathematics and computer science at the University of Parma. She is particularly interested in Kolmogorov equations and free boundary problems.

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Alessandra Lunardi's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Analytic Semigroups and Optimal Regularity in Parabolic Problems (2003) (2334)
Functional Analytic Methods for Evolution Equations (2004) (303)
On the Ornstein-Uhlenbeck Operator in Spaces of Continuous Functions (1995) (168)
On the linear heat equation with fading memory (1990) (128)
On the Ornstein-Uhlenbeck operator in ² spaces with respect to invariant measures (1997) (92)
Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space (1988) (80)
Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in $ℝ^{n}$ (1998) (76)
Schauder estimates for a class of degenerate elliptic and parabolic operators with unbounded coefficients in $\mathbb {R}^n$ (1997) (76)
Interpolation Spaces Between Domains of Elliptic Operators and Spaces of Continuous Functions with Applications to Nonlinear Parabolic Equations (1985) (69)
Schauder estimates for a class of degenerate elliptic and parabolic operators with unbounded coefficients in R (2018) (69)
Averaging Principle for Nonautonomous Slow-Fast Systems of Stochastic Reaction-Diffusion Equations: The Almost Periodic Case (2017) (59)
A general approach to stability in free boundary problems. (2000) (49)
Elliptic operators with unbounded drift coefficients and Neumann boundary condition (2004) (49)
Abstract quasilinear parabolic equations (1984) (46)
NONAUTONOMOUS KOLMOGOROV PARABOLIC EQUATIONS WITH UNBOUNDED COEFFICIENTS (2008) (45)
Instabilities in a Two-Dimensional Combustion Model with Free Boundary (2000) (40)
Solvability on the real line of a class of linear volterra integrodifferential equations of parabolic type (1988) (38)
Ornstein–Uhlenbeck operators with time periodic coefficients (2007) (37)
Maximal regularity for Kolmogorov operators in L2 spaces with respect to invariant measures (2006) (35)
Invariant measures and maximal L2 regularity for nonautonomous Ornstein–Uhlenbeck equations (2008) (34)
Traces of Sobolev functions on regular surfaces in infinite dimensions (2013) (34)
Cα-regularity for non-autonomous linear integrodifferential equations of parabolic type (1986) (31)
Sobolev regularity for a class of second order elliptic PDE’s in infinite dimension (2012) (31)
Fully nonlinear integrodifferential equations in general Banach space (1985) (27)
A semigroup approach to the time dependent parabolic initial-boundary value problem (1992) (26)
Maximal space regularity in nonhoomogeneous initial boundary value parabolic problem (1989) (25)
Stability of travelling waves with interface conditions (1992) (24)
An interpolation method to characterize domains of generators of semigroups (1996) (24)
Asymptotic behavior in time periodic parabolic problems with unbounded coefficients (2009) (23)
Global Solutions of Abstract Quasilinear Parabolic Equations (1985) (23)
Hypercontractivity and Asymptotic Behavior in Nonautonomous Kolmogorov Equations (2012) (23)
Asymptotic exponential stability in quasilinear parabolic equations (1985) (22)
On the Dirichlet semigroup for Ornstein–Uhlenbeck operators in subsets of Hilbert spaces (2010) (22)
Optimal Regularity and Fredholm Properties of Abstract Parabolic Operators in Lp Spaces on the Real Line (2005) (22)
Periodic solutions for linear integrodifferential equations with infinite delay in Banach spaces (1986) (22)
Maximal regularity for stochastic convolutions in $ L^p $ spaces (1998) (22)
Perimeter of sublevel sets in infinite dimensional spaces (2011) (22)
Surface measures in infinite dimension (2014) (22)
Planar non-nernstian electrochemical sensors: field test in the exhaust of a spark ignition engine (2005) (22)
Dirichlet boundary conditions for elliptic operators with unbounded drift (2005) (22)
Malliavin Calculus for non Gaussian differentiable measures and surface measures in Hilbert spaces (2016) (21)
Asymptotic behavior and hypercontractivity in non‐autonomous Ornstein–Uhlenbeck equations (2008) (20)
Maximal Sobolev regularity in Neumann problems for gradient systems in infinite dimensional domains (2013) (20)
On a class of self-adjoint elliptic operators in L 2 spaces with respect to invariant measures (2007) (20)
Analyticity of the maximal solution of an abstract nonlinear parabolic equation (1982) (19)
On the evolution operator for abstract parabolic equations (1987) (19)
Smooth solutions to a class of free boundary parabolic problems (2003) (19)
A critical case of stability in a free boundary problem (2001) (17)
Schauder theorems for a class of (pseudo‐)differential operators on finite‐ and infinite‐dimensional state spaces (2019) (16)
The Ornstein–Uhlenbeck semigroup in finite dimension (2020) (15)
An Introduction to Parabolic Moving Boundary Problems (2004) (15)
Hopf bifurcation for fully nonlinear equations in Banach space (1986) (14)
On Fredholm properties of Lu = u′ − A(t)u for paths of sectorial operators (2005) (14)
On the κ-θ model of cellular flames: existence in the large and asymptotics (2007) (14)
Maximal L2 regularity for Dirichlet problems in Hilbert spaces (2013) (13)
On a Class of Fully Nonlinear Parabolic Equations (1991) (13)
Stabilizability of integro-differential parabolic equations (1990) (13)
Stabilizability of time-periodic parabolic equations (1991) (12)
BV Functions on Convex Domains in Wiener Spaces (2014) (12)
Hölder regularity in variational parabolic non-homogeneous equations (1991) (12)
On the domains of elliptic operators in $L^1$ (2004) (11)
Bounded solutions of linear periodic abstract parabolic equations (1988) (11)
Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension (2019) (11)
Regular solutions for time dependent abstract integrodifferential equations with singular kernel (1988) (10)
Multi-dimensional stability analysis of planar travelling waves (1994) (10)
Elliptic operators with unbounded diffusion coefficients in L2 spaces with respect to invariant measures (2006) (9)
On a class of elliptic operators with unbounded coefficients in convex domains (2004) (9)
Generation of strongly continous semigroups by ellipticoperators with unbounded coefficients in $L^p(\R^n)$ (1996) (9)
An identification problem in the theory of heat conduction (1990) (8)
On a class of elliptic and parabolic equations in convex domains without boundary conditions (2008) (8)
Differentiability with respect to (t, s) of the parabolic evolution operator (1989) (8)
stability in a two-dimensional free boundary combustion model (2003) (7)
On a class of degenerate elliptic operators in L1 spaces with respect to invariant measures (2007) (7)
C∞ regularity for fully nonlinear abstract evolution equations (1986) (6)
Optimal L ∞ and Schauder Estimates for Elliptic and Parabolic Operators with Unbounded Coefficients (2020) (6)
Bifurcation of nonplanar travelling waves in a free boundary problem (2001) (6)
Regularity for a Class of Sums of Noncommuting Operators (1999) (6)
Chapter 5 Nonlinear parabolic equations and systems (2002) (6)
BV functions in Hilbert spaces (2018) (6)
Stability of the periodic solutions to fully nonlinear parabolic equations in Banach spaces (1988) (6)
An Introduction to Interpolation Theory (2007) (6)
Strong convergence of solutions to nonautonomous Kolmogorov equations (2015) (5)
Smoothing effects and maximal H\"older regularity for non-autonomous Kolmogorov equations in infinite dimension (2021) (5)
Floquet exponents and stabilizability in time-periodic parabolic systems (1990) (5)
Compactness and Asymptotic Behavior in Nonautonomous Linear Parabolic Equations with Unbounded Coefficients in ℝ d (2010) (5)
On the kappa-thêta model of cellular flames: existence in the large and asymptotics (2008) (4)
Semilinear nonautonomous parabolic equations with unbounded coefficients in the linear part (2015) (4)
Time analyticity for solutions of nonlinear abstract parabolic evolution equations (1987) (4)
Stability in fully nonlinear parabolic equations (1995) (3)
MAXIMAL L 2 REGULARITY FOR DIRICHLET PROBLEMS IN (2012) (3)
Local stability results for the elastic beam equation (1987) (3)
Stability of travelling waves in a multidimensional free boundary problem (2001) (3)
Stability of the travelling waves in a class of free boundary problems arising in combustion theory (1992) (3)
Characterization of some interpolation spaces (II) (1982) (3)
Maximal dissipativity of a class of elliptic degenerate operators inweighted $L^2$ spaces (2006) (3)
Computation of bifurcated branches in a free boundary problem arising in combustion theory (2000) (3)
Hopf bifurcation for nonlinear integrodifferential equations in Banach spaces with infinite delay (1987) (3)
The Speed Law for Highly Radiative Flames in a Gaseous Mixture with Large Activation Energy (2005) (3)
Ornstein–Uhlenbeck semigroups in infinite dimension (2020) (2)
STABILIZABILITY OF INTEGRODIFFERENTIAL PARABOLIC EQUATIONS (2008) (2)
Smoothing of quasilinear parabolic operators and applications to forward-backward stochastic systems (2005) (2)
Linear parabolic problems (1995) (2)
STABILIZABILITY OF INTEGRODIFFERENTIAL PARABOLIC EQUATIONS (2008) (2)
On the Law of the Minimum in a Class of Unidimensional SDEs (2019) (2)
Time regularity for generalized Mehler semigroups (2020) (1)
Interpolation Between Spaces of Continuous Functions (1985) (1)
On the law of the minimum of the solutions to a class of unidimensional SDEs (2018) (1)
Ultraboundedness for parabolic equations in convex domains without boundary conditions (2010) (1)
Linear nonautonomous equations (1995) (1)
Instability of the free boundary in a two-dimensional combustion model (2000) (1)
On Generators of Noncommuting Semigroups: Sums, Interpolation, Regularity (2002) (1)
Generation of analytic semigroups by elliptic operators (1995) (1)
Averaging principle for non autonomous slow-fast systems of stochastic RDEs: the almost periodic case (2016) (1)
Erratum to “Dirichlet boundary conditions for elliptic operators with unbounded drift” (2006) (0)
Interpolation and domains of operators (2018) (0)
Analytic semigroups and interpolation (2018) (0)
On the Law of the Minimum in a Class of Unidimensional SDEs (2019) (0)
Analytic semigroups and intermediate spaces (1995) (0)
Mathematical Analysis — Surface measures in infinite dimension (2014) (0)
Interpolation and semigroups (2018) (0)
Asymptotic behavior in fully nonlinear equations (1995) (0)
Preliminary material: spaces of continuous and Hölder continuous functions (1995) (0)
Stability and local invariant manifolds in fully nonlinear parabolic equations (1993) (0)
Powers of positive operators (2018) (0)
On optimal $ L^{p} $ regularity in evolution equations (1999) (0)
BV Functions on Convex Domains in Wiener Spaces (2015) (0)
Ja n 20 12 MAXIMAL L 2 REGULARITY FOR DIRICHLET PROBLEMS IN HILBERT SPACES (2013) (0)
Instabilities, Bifurcation and Saddle-Points in Some FBPs in Combustion (2019) (0)
Kolmogorov Operators of Hamiltonian Systems Perturbed by Noise (2006) (0)
Stability of travelling waves in combustion problems: a fully nonlinear approach (1996) (0)
Non autonomous parabolic equations with unbounded coefficients (2006) (0)
TO NONAUTONOMOUS KOLMOGOROV EQUATIONS (2016) (0)
ON A CLASS OF PARABOLIC FREE BOUNDARY PROBLEMS (2004) (0)
Neumann Boundary Stabilization of Structurally Damped Time Periodic Wave and Plate Equations (2017) (0)
Quantum Dynamics and Optimal Transport (2019) (0)
Fully nonlinear equations (1995) (0)
BV functions in Hilbert spaces (2020) (0)

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Published Works

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Alessandra Lunardi's AcademicInfluence.com Rankings