Analysis of PDEs

Authors and titles for math.AP in Apr 2023

[1]  arXiv:2304.00108 [pdf, ps, other]

Title: A systematic approach on the second order regularity of solutions to the general parabolic $p$-Laplace equation

Authors: Yawen Feng, Mikko Parviainen, Saara Sarsa

Subjects: Analysis of PDEs (math.AP)

[2]  arXiv:2304.00118 [pdf, ps, other]

Title: Nonlocal energy functionals and determinantal point processes on non-smooth domains

Authors: Zhengjiang Lin

Comments: 25 pages, 3 figures; The results are the same. Added Remark 1.2.3 for functions J which may change signs. Comments welcome!

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Probability (math.PR)

[3]  arXiv:2304.00124 [pdf, ps, other]

Title: Sharp well-posedness for the Benjamin--Ono equation

Authors: Rowan Killip, Thierry Laurens, Monica Visan

Subjects: Analysis of PDEs (math.AP)

[4]  arXiv:2304.00175 [pdf, other]

Title: Well-posedness and qualitative properties of quasilinear degenerate evolution systems

Authors: Koondanibha Mitra, Stefanie Sonner

Comments: 1 figure, 35 pages

Subjects: Analysis of PDEs (math.AP)

[5]  arXiv:2304.00178 [pdf, ps, other]

Title: Boundary controllability for a 1D degenerate parabolic equation with drift and a singular potential and a Neumann boundary condition

Authors: Leandro Galo-Mendoza, Marcos López-García

Comments: 19 pages. arXiv admin note: substantial text overlap with arXiv:2302.01197

Subjects: Analysis of PDEs (math.AP)

[6]  arXiv:2304.00264 [pdf, other]

Title: On the stability and instability of Kelvin-Stuart cat's eyes flows

Authors: Shasha Liao, Zhiwu Lin, Hao Zhu

Comments: 124 pages. We added a comment on the stability/instability of Taylor's 2-parameter family of cat's eyes solutions, and added Lemma 3.7

Subjects: Analysis of PDEs (math.AP)

[7]  arXiv:2304.00269 [pdf, ps, other]

Title: Some qualitative properties of solutions to a reaction-diffusion equation with weighted strong reaction

Authors: Razvan Gabriel Iagar, Ana Isabel Muñoz, Ariel Sánchez

Subjects: Analysis of PDEs (math.AP)

[8]  arXiv:2304.00307 [pdf, ps, other]

Title: Model reduction of Brownian oscillators: quantification of errors and long-time behaviour

Authors: M. Colangeli, M. H. Duong, A. Muntean

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Probability (math.PR)

[9]  arXiv:2304.00315 [pdf, ps, other]

Title: On the limiting problems for two eigenvalue systems and variations

Authors: Hamilton P Bueno, Aldo H S Medeiros

Comments: 18 pages

Subjects: Analysis of PDEs (math.AP)

[10]  arXiv:2304.00327 [pdf, ps, other]

Title: Unique continuation for the momentum ray transform

Authors: Joonas Ilmavirta, Pu-Zhao Kow, Suman Kumar Sahoo

Subjects: Analysis of PDEs (math.AP)

[11]  arXiv:2304.00393 [pdf, ps, other]

Title: Dirichlet problem for semilinear partial integro-differential equations: the method of orthogonal projection

Authors: Tomasz Klimsiak, Andrzej Rozkosz

Subjects: Analysis of PDEs (math.AP)

[12]  arXiv:2304.00481 [pdf, ps, other]

Title: On Asymptotic Properties of the Boussinesq Equations

Authors: Mustafa Sencer Aydın, Igor Kukavica, Mohammed Ziane

Subjects: Analysis of PDEs (math.AP)

[13]  arXiv:2304.00522 [pdf, ps, other]

Title: Mathematical theory of compressible magnetohydrodynamics driven by non-conservative boundary conditions

Authors: Eduard Feireisl, Piotr Gwiazda, Young-Sam Kwon, Agnieszka Świerczewska-Gwiazda

Subjects: Analysis of PDEs (math.AP)

[14]  arXiv:2304.00529 [pdf, ps, other]

Title: Local well-posedness of solutions to 2D magnetic Prandtl model in the Prandtl-Hartmann regine

Authors: Yuming Qin, Xiuqing Wang, Junchen Liu

Comments: 28 pages

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[15]  arXiv:2304.00587 [pdf, ps, other]

Title: Well Posedness and Characterization of Solutions to Non Conservative Products in Non Homogeneous Fluid Dynamics Equations

Authors: Rinaldo M. Colombo, Graziano Guerra, Yannick Holle

Subjects: Analysis of PDEs (math.AP)

[16]  arXiv:2304.00646 [pdf, ps, other]

Title: Hölder Stability and Uniqueness for The Mean Field Games System via Carleman Estimates

Authors: Michael V. Klibanov, Jingzhi Li, Hongyu Liu

Subjects: Analysis of PDEs (math.AP)

[17]  arXiv:2304.00647 [pdf, ps, other]

Title: Existence and location of nodal solutions for quasilinear convection-absorption Neumann problems

Authors: Abdelkrim Moussaoui, Kamel Saoudi

Subjects: Analysis of PDEs (math.AP)

[18]  arXiv:2304.00657 [pdf, ps, other]

Title: Lipschitz regularity for solutions of a general class of elliptic equations

Authors: Greta Marino, Sunra Mosconi

Comments: typo fixed in (1.5), 37 pages, comments welcome

Subjects: Analysis of PDEs (math.AP)

[19]  arXiv:2304.00726 [pdf, ps, other]

Title: Convergence rates for identification of Robin coefficient from terminal observations

Authors: Subhankar Mondal

Comments: 12 pages, Comments are welcome

Subjects: Analysis of PDEs (math.AP)

[20]  arXiv:2304.00745 [pdf, ps, other]

Title: $L^p_{loc}$ positivity preservation and Liouville-type theorems

Authors: Andrea Bisterzo, Alberto Farina, Stefano Pigola

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[21]  arXiv:2304.00778 [pdf, ps, other]

Title: Local behaviour of the mixed local and nonlocal problems with nonstandard growth

Authors: Mengyao Ding, Yuzhou Fang, Chao Zhang

Subjects: Analysis of PDEs (math.AP)

[22]  arXiv:2304.00786 [pdf, ps, other]

Title: A Liouville theorem for elliptic equations with a potential on infinite graphs

Authors: Stefano Biagi, Giulia Meglioli, Fabio Punzo

Subjects: Analysis of PDEs (math.AP)

[23]  arXiv:2304.00791 [pdf, other]

Title: Symmetry and asymmetry in a multi-phase overdetermined problem

Authors: Lorenzo Cavallina

Comments: 18 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[24]  arXiv:2304.00802 [pdf, ps, other]

Title: Classification of nonnegative traveling wave solutions for certain 1D degenerate parabolic equation and porous medium equation

Authors: Yu Ichida, Takashi Okuda Sakamoto

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[25]  arXiv:2304.00806 [pdf, ps, other]

Title: A remark on solutions to semilinear equations with Robin boundary conditions

Authors: Antonio Celentano, Alba Lia Masiello, Gloria Paoli

Subjects: Analysis of PDEs (math.AP)