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- Giuseppe Da Prato

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
41
Citations
14,160
306
World Ranking
1248
National Ranking
36

2018 - Member of Academia Europaea

- Mathematical analysis
- Quantum mechanics
- Hilbert space

His main research concerns Mathematical analysis, Uniqueness, Invariant measure, Stochastic differential equation and Stochastic partial differential equation. His Mathematical analysis research is multidisciplinary, incorporating perspectives in Martingale, Stochastic control, Pure mathematics and Nonlinear system. His Uniqueness study combines topics from a wide range of disciplines, such as Bounded function and Applied mathematics.

His Invariant measure research is multidisciplinary, relying on both Semigroup, Gibbs measure, Fixed point and Ergodicity. His research in Stochastic differential equation intersects with topics in Cahn–Hilliard equation and Malliavin calculus. His Stochastic partial differential equation research integrates issues from Independent equation and Simultaneous equations.

- Stochastic Equations in Infinite Dimensions (3041 citations)
- Representation and Control of Infinite Dimensional Systems (708 citations)
- Second order partial differential equations in Hilbert spaces (296 citations)

Giuseppe Da Prato spends much of his time researching Mathematical analysis, Pure mathematics, Invariant measure, Hilbert space and Semigroup. All of his Mathematical analysis and Stochastic partial differential equation, Uniqueness, Stochastic differential equation, Partial differential equation and Bounded function investigations are sub-components of the entire Mathematical analysis study. The Malliavin calculus research Giuseppe Da Prato does as part of his general Stochastic partial differential equation study is frequently linked to other disciplines of science, such as Quantum stochastic calculus, therefore creating a link between diverse domains of science.

The concepts of his Uniqueness study are interwoven with issues in Fokker–Planck equation and Nonlinear system. His Pure mathematics research incorporates elements of Discrete mathematics, Probability measure and Space. His Invariant measure research is multidisciplinary, incorporating perspectives in Ergodic theory, Operator, Dissipative system and Mathematical physics.

- Mathematical analysis (52.61%)
- Pure mathematics (27.53%)
- Invariant measure (21.95%)

- Pure mathematics (27.53%)
- Mathematical analysis (52.61%)
- Hilbert space (21.60%)

His primary areas of study are Pure mathematics, Mathematical analysis, Hilbert space, Invariant measure and Stochastic partial differential equation. Giuseppe Da Prato combines subjects such as Space, Beta and Surface with his study of Pure mathematics. He performs multidisciplinary study in the fields of Mathematical analysis and Exponentially equivalent measures via his papers.

Giuseppe Da Prato has included themes like Measure, Uniqueness, Probability measure, Sobolev space and Gaussian measure in his Hilbert space study. His Invariant measure study combines topics in areas such as Semigroup, Integration by parts, Reaction–diffusion system, Mathematical physics and Derivative. His work deals with themes such as Independent equation, Simultaneous equations and Applied mathematics, which intersect with Stochastic partial differential equation.

- Stochastic Equations in Infinite Dimensions: Survey of specific equations (24 citations)
- Sobolev regularity for a class of second order elliptic PDE’s in infinite dimension (19 citations)
- Maximal Sobolev regularity in Neumann problems for gradient systems in infinite dimensional domains (17 citations)

- Mathematical analysis
- Quantum mechanics
- Hilbert space

His primary scientific interests are in Hilbert space, Pure mathematics, Invariant measure, Integration by parts and Mathematical analysis. His research in Hilbert space intersects with topics in Measure, Uniqueness, Sobolev space, Weak solution and Gaussian measure. The various areas that Giuseppe Da Prato examines in his Pure mathematics study include Dimension and Probability measure.

His research investigates the connection between Probability measure and topics such as Invariant that intersect with problems in Stochastic partial differential equation. His Invariant measure study which covers Semigroup that intersects with Mathematical physics and Differentiable function. His study in Bounded function, Reaction–diffusion system and Banach space is done as part of Mathematical analysis.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Stochastic Equations in Infinite Dimensions

Giuseppe Da Prato;Jerzy Zabczyk.

**(1992)**

6537 Citations

Representation and Control of Infinite Dimensional Systems

Alain Bensoussan;Michel C. Delfour;Giuseppe Da Prato;Sanjoy K. Mitter.

**(1993)**

930 Citations

Second order partial differential equations in Hilbert spaces

Giuseppe Da Prato;Jerzy Zabczyk.

**(2002)**

465 Citations

An Introduction to Infinite Dimensional Analysis

Giuseppe Da Prato.

**(2007)**

354 Citations

Kolmogorov Equations For Stochastic Pdes

Giuseppe Da Prato.

**(2004)**

321 Citations

Equations d'évolution abstraites non linéaires de type parabolique

Giuseppe Da Prato;Pierre Grisvard.

Annali di Matematica Pura ed Applicata **(1979)**

305 Citations

Hamilton-Jacobi equations in Hilbert spaces

Viorel Barbu;Giuseppe Da Prato.

**(1983)**

241 Citations

Strong solutions to the stochastic quantization equations

Giuseppe Da Prato;Arnaud Debussche.

Annals of Probability **(2003)**

240 Citations

Stochastic Cahn-Hilliard equation

Giuseppe Da Prato;Arnaud Debussche.

Nonlinear Analysis-theory Methods & Applications **(1996)**

197 Citations

Ergodicity for the 3D stochastic Navier–Stokes equations

Giuseppe Da Prato;Arnaud Debussche.

Journal de Mathématiques Pures et Appliquées **(2003)**

196 Citations

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