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Project B1: New trends in stochastic partial differential equations: two types of transformations and a new notion of solution



Summary:

This project consists of four parts: (I) Rescaling transformation for stochastic partial differential equations with linear multiplicative noise and their applications/consequences; (II) Low order regularity of Kolmogorov operators in infinite dimensional spaces and applications to stochastic partial differential equations; (III) Stochastic variational inequalities for stochastic partial differential equations; (IV) Mean field games and stochastic partial differential equations.


Recent Preprints:

19061 Michael Röckner, Xiaobin Sun, Longjie Xie PDF

Strong and weak convergence in the averaging principle for SDEs with Hölder coefficients

Project: B1

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Strong and weak convergence in the averaging principle for SDEs with Hölder coefficients


Authors: Michael Röckner, Xiaobin Sun, Longjie Xie Projects: B1
Submission Date: 22.07.2019 Submitter: L’ubomír Baňas
Download: PDF Link: 19061

19060 Benjamin Gess, Martina Hofmanová PDF

Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE

Project: B1

To appear: The Annals of Probability (2019)

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Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE


Authors: Benjamin Gess, Martina Hofmanová Projects: B1
Submission Date: 17.07.2019 Submitter: Barbara Gentz
Download: PDF Link: 19060
To appear: The Annals of Probability (2019)

19059 Benjamin Fehrman, Benjamin Gess PDF

Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise

Project: B1

To appear: Archive for Rational Mechanics and Analysis (ARMA) (2019)

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Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise


Authors: Benjamin Fehrman, Benjamin Gess Projects: B1
Submission Date: 10.07.2019 Submitter: Martina Hofmanová
Download: PDF Link: 19059
To appear: Archive for Rational Mechanics and Analysis (ARMA) (2019)

19058 Benjamin Gess, Cheng Ouyang, Samy Tindel PDF

Density bounds for solutions to differential equations driven by Gaussian rough paths

Project: B1

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Density bounds for solutions to differential equations driven by Gaussian rough paths


Authors: Benjamin Gess, Cheng Ouyang, Samy Tindel Projects: B1
Submission Date: 10.07.2019 Submitter: Martina Hofmanová
Download: PDF Link: 19058

19055 Benjamin Gess, Panagiotis E. Souganidis PDF

Stochastic non-isotropic degenerate parabolic-hyperbolic equations

Project: B1

To appear: Stochastic Process. Appl. (SPA) (2019)

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Stochastic non-isotropic degenerate parabolic-hyperbolic equations


Authors: Benjamin Gess, Panagiotis E. Souganidis Projects: B1
Submission Date: 10.07.2019 Submitter: Martina Hofmanová
Download: PDF Link: 19055
To appear: Stochastic Process. Appl. (SPA) (2019)

19054 Benjamin Gess PDF

Regularization and well-posedness by noise for ordinary and partial differential equations

Project: B1

To appear: Stochastic Partial Differential Equations and Related Fields, Springer Proceedings in Mathematics & Statistics (2019)

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Regularization and well-posedness by noise for ordinary and partial differential equations


Authors: Benjamin Gess Projects: B1
Submission Date: 10.07.2019 Submitter: Martina Hofmanová
Download: PDF Link: 19054
To appear: Stochastic Partial Differential Equations and Related Fields, Springer Proceedings in Mathematics & Statistics (2019)

19053 Paul Gassiat, Benjamin Gess PDF

Regularization by noise for stochastic Hamilton-Jacobi equations

Project: B1

To appear: Probability Theory and Related Fields (2019)

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Regularization by noise for stochastic Hamilton-Jacobi equations


Authors: Paul Gassiat, Benjamin Gess Projects: B1
Submission Date: 10.07.2019 Submitter: Martina Hofmanová
Download: PDF Link: 19053
To appear: Probability Theory and Related Fields (2019)

19052 Benjamin Gess, Mario Maurelli PDF

Well-posedness by noise for scalar conservation laws

Project: B1

To appear: Comm. Partial Differential Equations (CPDE) (2019)

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Well-posedness by noise for scalar conservation laws


Authors: Benjamin Gess, Mario Maurelli Projects: B1
Submission Date: 10.07.2019 Submitter: Martina Hofmanová
Download: PDF Link: 19052
To appear: Comm. Partial Differential Equations (CPDE) (2019)

19050 Benjamin Gess, Scott Smith PDF

Stochastic continuity equations with conservative noise

Project: B1

To appear: J. Math. Pures Appl. (JMPA) (2019)

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Stochastic continuity equations with conservative noise


Authors: Benjamin Gess, Scott Smith Projects: B1
Submission Date: 10.07.2019 Submitter: Martina Hofmanová
Download: PDF Link: 19050
To appear: J. Math. Pures Appl. (JMPA) (2019)

19049 Konstantinos Dareiotis, Benjamin Gess PDF

Supremum estimates for degenerate, quasilinear stochastic partial differential equations

Project: B1

To appear: Annales de l’Institut Henri Poincare (B) Probability and Statistics (2019)

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Supremum estimates for degenerate, quasilinear stochastic partial differential equations


Authors: Konstantinos Dareiotis, Benjamin Gess Projects: B1
Submission Date: 10.07.2019 Submitter: Martina Hofmanová
Download: PDF Link: 19049
To appear: Annales de l’Institut Henri Poincare (B) Probability and Statistics (2019)



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