Inverse Problems for Twisted Geodesic Flows

Authors: Jathar, Shubham R., Railo, Jesse

Subject Terms: Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, Primary 44A12, Secondary 58C99, 37E35

Access URL: http://arxiv.org/abs/2410.04911

Survey on Broken Ray Transforms

Authors: Jathar, Shubham R., Railo, Jesse

Subject Terms: Mathematics - Differential Geometry, Mathematics - Classical Analysis and ODEs, Primary 44A12, Secondary 58C99, 37E35

Access URL: http://arxiv.org/abs/2410.04908

A note on the Fourier magnitude data and Sobolev embeddings

Authors: Railo, Jesse

Source: J Fourier Anal Appl 30, 59 (2024)

Subject Terms: Mathematics - Functional Analysis, 42B10, 46E35

Access URL: http://arxiv.org/abs/2404.13329

Loop group factorization method for the magnetic and thermostatic nonabelian ray transforms

Authors: Jathar, Shubham R., Kar, Manas, Railo, Jesse

Source: Inverse Problems, Volume 41, Number 1 (2025)

Subject Terms: Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, Primary 44A12, Secondary 58C99, 37E35

Access URL: http://arxiv.org/abs/2312.06023

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Broken ray transform for twisted geodesics on surfaces with a reflecting obstacle

Authors: Jathar, Shubham R., Kar, Manas, Railo, Jesse

Source: The Journal of Geometric Analysis 34, 212 (2024)

Subject Terms: Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, Primary 44A12, Secondary 58C99, 37E35

Access URL: http://arxiv.org/abs/2306.17604

The Calder\'on problem for a nonlocal diffusion equation with time-dependent coefficients

Authors: Lin, Yi-Hsuan, Railo, Jesse, Zimmermann, Philipp

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Functional Analysis, Primary 35R30, secondary 26A33, 42B37

Access URL: http://arxiv.org/abs/2211.07781

Stability estimates for the inverse fractional conductivity problem

Authors: Covi, Giovanni, Railo, Jesse, Tyni, Teemu, Zimmermann, Philipp

Source: SIAM Journal on Mathematical Analysis (2024), vol. 56 (2), pp. 2456-2487

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Functional Analysis, Primary 35R30, Secondary 26A33, 42B37, 46F12

Access URL: http://arxiv.org/abs/2210.01875

Low regularity theory for the inverse fractional conductivity problem

Authors: Railo, Jesse, Zimmermann, Philipp

Source: Nonlinear Analysis 239 (2024), article no. 113418

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Functional Analysis, 35R30 (Primary) 26A33, 42B37, 46F12 (Secondary)

Access URL: http://arxiv.org/abs/2208.11465

The fractional $p\,$-biharmonic systems: optimal Poincar\'e constants, unique continuation and inverse problems

Authors: Kar, Manas, Railo, Jesse, Zimmermann, Philipp

Source: Calc. Var. 62, 130 (2023)

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Functional Analysis, 35R30 (Primary) 26A33, 42B37 (Secondary)

Access URL: http://arxiv.org/abs/2208.09528

The global inverse fractional conductivity problem

Authors: Covi, Giovanni, Railo, Jesse, Zimmermann, Philipp

Subject Terms: Mathematics - Analysis of PDEs, 35R30, 26A33, 42B37, 46F12

Access URL: http://arxiv.org/abs/2204.04325

Counterexamples to uniqueness in the inverse fractional conductivity problem with partial data

Authors: Railo, Jesse, Zimmermann, Philipp

Source: Inverse Problems and Imaging, 2023, 17(2), pp. 406-418

Subject Terms: Mathematics - Analysis of PDEs, 35R30, 26A33, 42B37, 46F12

Access URL: http://arxiv.org/abs/2203.02442

Fractional Calder\'on problems and Poincar\'e inequalities on unbounded domains

Authors: Railo, Jesse, Zimmermann, Philipp

Source: J. Spectr. Theory 13 (2023), no. 1, pp. 63-131

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Functional Analysis, 35R30, 26A33, 42B37, 46F12

Access URL: http://arxiv.org/abs/2203.02425

Geodesic tomography problems on Riemannian manifolds

Authors: Railo, Jesse

Subject Terms: Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, Mathematics - Functional Analysis

Access URL: http://arxiv.org/abs/2010.11331

On mixed and transverse ray transforms on orientable surfaces

Authors: Ilmavirta, Joonas, Mönkkönen, Keijo, Railo, Jesse

Source: Journal of Inverse and Ill-posed Problems, vol. 31, no. 1, 2023, pp. 43-63

Subject Terms: Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, 44A12, 65R32, 53A99

Access URL: http://arxiv.org/abs/2009.01043

The higher order fractional Calder\'on problem for linear local operators: uniqueness

Authors: Covi, Giovanni, Mönkkönen, Keijo, Railo, Jesse, Uhlmann, Gunther

Source: Advances in Mathematics 399 (2022), 108246

Subject Terms: Mathematics - Analysis of PDEs, 35R30 35R11

Access URL: http://arxiv.org/abs/2008.10227

Unique continuation property and Poincar\'e inequality for higher order fractional Laplacians with applications in inverse problems

Authors: Covi, Giovanni, Mönkkönen, Keijo, Railo, Jesse

Source: Inverse Problems & Imaging, 2021, 15 (4): 641-681

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Functional Analysis, 35R30, 46F12, 44A12

Access URL: http://arxiv.org/abs/2001.06210

Fourier analysis of periodic Radon transforms

Authors: Railo, Jesse

Source: J. Fourier Anal. Appl. 26 (2020), 64

Subject Terms: Mathematics - Functional Analysis, 44A12, 42B05, 46F12, 45Q05

Access URL: http://arxiv.org/abs/1909.00495

Torus computed tomography

Authors: Ilmavirta, Joonas, Koskela, Olli, Railo, Jesse

Source: SIAM J. Appl. Math., 80(4), 1947--1976

Subject Terms: Mathematics - Functional Analysis, Mathematics - Numerical Analysis, 65R10, 65R32, 44A12, 42B05, 46F12

Access URL: http://arxiv.org/abs/1906.05046

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