Faculty

Institution

Unit

Venue

Thomas J. Bieske

Professor

University of South Florida

Affiliations

College of Arts and Sciences

School of Natural Sciences and Mathematics

Department of Mathematics & Statistics

Thomas J. Bieske is currently serving as a College Of Arts And Sciences Professor at University of South Florida.

Honors

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Experiences

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Education

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Thomas J. Bieske

University of South Florida

Professor

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applied mathematics mathematics mathematical analysis mathematical sciences functional analysis spectral theory geometric analysis boundary value problems grushin-type spaces geometric topology function spaces potential theory heisenberg group carnot groups global analysis nonlinear analysis viscosity solutions p-laplace equation group theory harmonic space mathematical physics theoretical analysis lie group riemannian manifold riemannian geometry nonlinear science analytic number theory parabolic equations dirichlet form riemann-hilbert problem lipschitz extensions infinite harmonic functions physics number theory theoretical physics mathematical optimization convex analysis real algebraic geometry infinite dimensional analysis constructive mathematics hyperbolic conservation laws elliptic equations lie point symmetry aronsson-euler equation comparison principle communication communication theory discrete mathematics high energy physics modern physics general systems global optimization mathematical programming nonlinear phenomena modern algebra interpolation spaces set-theoretic topology algebraic analysis stochastic geometry lie algebra theoretical high-energy physics quantum theory oscillation theory facies analysis coxeter group variational analysis variational inequalities dirac operator resolvent kernel carnot-caratheodory metrics grushin-type planes sub-riemannian maximum principle grushin spaces maximum principle carnot-caratheodory distance laplacian-type equation geometric partial differential equation sub-riemannian geometry differential geometry

Notable Scholarly Works

Notable Federal Grants

Collaborators

Viscosity Solutions to the ∞-Laplace Equation in Grushin-Type Spaces. (2024)

boundary value problemselliptic equationsmathematics∞-laplace equationpotential theorypartial differential equationsfunction spacesapplied mathematicsmathematical sciences

Existence and Uniqueness of Viscosity Solutions to the Infinity Laplacian Relative to a Class of Grushin-Type Vector Fields. Constructive Mathematical Analysis (2023)

Thomas BieskeZachary Forrest

constructive mathematicsgrushin-type vector fieldsmathematicsmathematical analysisapplied mathematicsviscosity solutions

Generalizations of the Drift Laplace Equation Over the Quaternions in a Class of Grushin-Type Spaces. Constructive Mathematical Analysis (2023)

Thomas BİESKEKeller BLACKWELL

drift laplace equationconstructive mathematicstheoretical analysisgrushin-type spacesmathematical analysisapplied mathematics

Generalizations of the Drift Laplace Equation in the Heisenberg Group and Grushin-Type Spaces. Electronic Journal of Differential Equations (2021)

Thomas BieskeKeller Blackwell

heisenberg groupgrushin-type spacesnumerical analysisdrift laplace equationapplied mathematics

On the Lie Algebra of Polarizable Carnot Groups. Analysis and Mathematical Physics (2020)

Thomas Bieske

mathematical physicspolarizable carnot groupslie algebramathematics

Correction to: A $${\Texttt {P}}({\Cdot })$$P(·)-Poincaré-Type Inequality for Variable Exponent Sobolev Spaces With Zero Boundary Values in Carnot Groups. Analysis and Mathematical Physics (2019)

Thomas BieskeRobert D. Freeman

mathematical analysiscarnot groupscomplex analysisapplied mathematics

Correction to “a P(X) -Poincar´E-Type Inequality for Variable Exponent Sobolev Spaces With Zero Boundary Values in Carnot Groups”. Anal. and Math Phys. (2019)

carnot groupsfunctional analysisa pabstract and applied analysisboundary valuesoperator theorymathematicsmathematical analysis

Equivalence of Weak and Viscosity Solutions to the P(X)-Laplacian in Carnot Groups. Anal. and Math Phys. (2019)

lie point symmetrycarnot groupsfunctional analysisglobal analysislie groupmathematicsgeometric analysismathematical analysisapplied mathematicsmathematical sciencesviscosity solutions

Generalizations of the Drift Laplace Equation in the Heisenberg Group and a Class of Grushin-Type Spaces. arXiv (Cornell University) (2019)

lie point symmetrydrift laplace equationfunctional analysisheisenberg groupgrushin-type spacesglobal analysislie groupoperator theorymathematicsintegrable systemsmathematical analysisfunction spacesspectral theoryapplied mathematicsmathematical sciences

On the P-Laplace Equation in a Class of H´Ormander Vector Fields. Electron. J. Diff. Eqns. (2019)

monge-ampere equationh´ormander vector fieldsfunctional analysisboundary value problemsdifferential geometryglobal analysismathematicspotential theorypartial differential equationsp-laplace equationdirichlet formspectral theoryapplied mathematicsmathematical sciences

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Thomas J. Bieske

Professor

University of South Florida

Affiliations

College of Arts and Sciences

School of Natural Sciences and Mathematics

Department of Mathematics & Statistics

Thomas J. Bieske is currently serving as a College Of Arts And Sciences Professor at University of South Florida.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Thomas J. Bieske

University of South Florida

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Viscosity Solutions to the ∞-Laplace Equation in Grushin-Type Spaces. (2024)

boundary value problemselliptic equationsmathematics∞-laplace equationpotential theorypartial differential equationsfunction spacesapplied mathematicsmathematical sciences

Existence and Uniqueness of Viscosity Solutions to the Infinity Laplacian Relative to a Class of Grushin-Type Vector Fields. Constructive Mathematical Analysis (2023)

Thomas BieskeZachary Forrest

constructive mathematicsgrushin-type vector fieldsmathematicsmathematical analysisapplied mathematicsviscosity solutions

Generalizations of the Drift Laplace Equation Over the Quaternions in a Class of Grushin-Type Spaces. Constructive Mathematical Analysis (2023)

Thomas BİESKEKeller BLACKWELL

drift laplace equationconstructive mathematicstheoretical analysisgrushin-type spacesmathematical analysisapplied mathematics

Generalizations of the Drift Laplace Equation in the Heisenberg Group and Grushin-Type Spaces. Electronic Journal of Differential Equations (2021)

Thomas BieskeKeller Blackwell

heisenberg groupgrushin-type spacesnumerical analysisdrift laplace equationapplied mathematics

On the Lie Algebra of Polarizable Carnot Groups. Analysis and Mathematical Physics (2020)

Thomas Bieske

mathematical physicspolarizable carnot groupslie algebramathematics

Correction to: A $${\Texttt {P}}({\Cdot })$$P(·)-Poincaré-Type Inequality for Variable Exponent Sobolev Spaces With Zero Boundary Values in Carnot Groups. Analysis and Mathematical Physics (2019)

Thomas BieskeRobert D. Freeman

mathematical analysiscarnot groupscomplex analysisapplied mathematics

Correction to “a P(X) -Poincar´E-Type Inequality for Variable Exponent Sobolev Spaces With Zero Boundary Values in Carnot Groups”. Anal. and Math Phys. (2019)

carnot groupsfunctional analysisa pabstract and applied analysisboundary valuesoperator theorymathematicsmathematical analysis

Equivalence of Weak and Viscosity Solutions to the P(X)-Laplacian in Carnot Groups. Anal. and Math Phys. (2019)

lie point symmetrycarnot groupsfunctional analysisglobal analysislie groupmathematicsgeometric analysismathematical analysisapplied mathematicsmathematical sciencesviscosity solutions

Generalizations of the Drift Laplace Equation in the Heisenberg Group and a Class of Grushin-Type Spaces. arXiv (Cornell University) (2019)

On the P-Laplace Equation in a Class of H´Ormander Vector Fields. Electron. J. Diff. Eqns. (2019)

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3
4
5
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applied mathematics

mathematics

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Cornell University

ricci flow

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calculus of variation

geometric analysis

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inverse scattering transforms

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spectral theory

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