Analysis of PDEs

Authors and titles for April 2018

[301] arXiv:1804.06869 (cross-list from math.CA) [pdf, other]

Title: Strong weighted and restricted weak weighted estimates of the square function

P. Ivanisvili, P. Mozolyako, A. Volberg

Comments: 30 pages; typos in the old version noticed and corrected. arXiv admin note: text overlap with arXiv:1711.10578

Subjects: Classical Analysis and ODEs (math.CA); Analysis of PDEs (math.AP)

[302] arXiv:1804.07010 (cross-list from stat.ML) [pdf, other]

Title: Forward-Backward Stochastic Neural Networks: Deep Learning of High-dimensional Partial Differential Equations

Maziar Raissi

Subjects: Machine Learning (stat.ML); Machine Learning (cs.LG); Systems and Control (eess.SY); Analysis of PDEs (math.AP); Optimization and Control (math.OC)

[303] arXiv:1804.07197 (cross-list from math.SP) [pdf, other]

Title: Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity

Diana Barseghyan, Andrii Khrabustovskyi

Comments: Accepted for publication in "Operators and Matrices"

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[304] arXiv:1804.07565 (cross-list from math.OC) [pdf, other]

Title: Moments and convex optimization for analysis and control of nonlinear partial differential equations

Milan Korda (UCSB), Didier Henrion (LAAS-MAC, CVUT), Jean-Bernard Lasserre (LAAS-MAC, IMT)

Subjects: Optimization and Control (math.OC); Analysis of PDEs (math.AP)

[305] arXiv:1804.07816 (cross-list from math.SP) [pdf, other]

Title: Unique continuation and lifting of spectral band edges of Schr\"odinger operators on unbounded domains (With an Appendix by Albrecht Seelmann)

Ivica Nakić, Matthias Täufer, Martin Tautenhahn, Ivan Veselic, Albrecht Seelmann

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[306] arXiv:1804.08353 (cross-list from math.SP) [pdf, other]

Title: Sobolev-Type Inequalities and Eigenvalue Growth on Graphs with Finite Measure

Bobo Hua, Matthias Keller, Michael Schwarz, Melchior Wirth

Subjects: Spectral Theory (math.SP); Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[307] arXiv:1804.08776 (cross-list from math-ph) [pdf, other]

Title: Enhanced group classification of nonlinear diffusion-reaction equations with gradient-dependent diffusion

Stanislav Opanasenko, Vyacheslav Boyko, Roman O. Popovych

Comments: 30 pages, 2 tables, minor corrections

Journal-ref: J. Math. Anal. Appl. 484 (2020), 123739

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

[308] arXiv:1804.08952 (cross-list from math.FA) [pdf, other]

Title: Essential spectrum for Maxwell's equations

Giovanni S. Alberti, Malcolm Brown, Marco Marletta, Ian Wood

Comments: 22 pages

Subjects: Functional Analysis (math.FA); Analysis of PDEs (math.AP)

[309] arXiv:1804.08999 (cross-list from math.DG) [pdf, other]

Title: Analytical properties for degenerate equations

Tobias Holck Colding, William P. Minicozzi II

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

[310] arXiv:1804.09076 (cross-list from math.DG) [pdf, other]

Title: Smooth compactness for spaces of asymptotically conical self-expanders of mean curvature flow

Jacob Bernstein, Lu Wang

Comments: 19 pages, 0 figures, fix minor typos and update references

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

[311] arXiv:1804.09429 (cross-list from math.NA) [pdf, other]

Title: A semi-Lagrangian scheme for Hamilton-Jacobi equations on networks with application to traffic flow models

Elisabetta Carlini (Sapienza University of Rome), Adriano Festa (LMI), Nicolas Forcadel (LMI)

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[312] arXiv:1804.09806 (cross-list from math.DG) [pdf, other]

Title: Parabolic frequency monotonicity on compact manifolds

Xiaolong Li, Kui Wang

Comments: 17 pages

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

[313] arXiv:1804.09816 (cross-list from eess.SP) [pdf, other]

Title: On the Dual Geometry of Laplacian Eigenfunctions

Alexander Cloninger, Stefan Steinerberger

Subjects: Signal Processing (eess.SP); Machine Learning (cs.LG); Analysis of PDEs (math.AP); Spectral Theory (math.SP)

[314] arXiv:1804.10154 (cross-list from math.FA) [pdf, other]

Title: Sobolev spaces on Lie groups: embedding theorems and algebra properties

Tommaso Bruno, Marco M. Peloso, Anita Tabacco, Maria Vallarino

Comments: 28 pages

Subjects: Functional Analysis (math.FA); Analysis of PDEs (math.AP)

[315] arXiv:1804.10156 (cross-list from math.DS) [pdf, other]

Title: A non-autonomous scalar one-dimensional dissipative parabolic problem: The description of the dynamics

Rita de Cássia D. S. Broche, Alexandre N. Carvalho, José Valero

Comments: 32 pages, 04 figures

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

[316] arXiv:1804.10268 (cross-list from math.CV) [pdf, other]

Title: An Ikehara-type theorem for functions convergent to zero

Dmitri Finkelshtein, Pasha Tkachov

Subjects: Complex Variables (math.CV); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[317] arXiv:1804.10348 (cross-list from math-ph) [pdf, other]

Title: An introduction to the two-dimensional Schr\"odinger equation with nonlinear point interactions

R Carlone, M Correggi, L Tentarelli

Journal-ref: Nanosystems: Phys. Chem. Math. 9 (2018), no. 2, 187-195

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Quantum Physics (quant-ph)

[318] arXiv:1804.10426 (cross-list from math.KT) [pdf, other]

Title: K-theory and index formulas for boundary groupoid C*-algebras

Bing Kwan So

Subjects: K-Theory and Homology (math.KT); Analysis of PDEs (math.AP)

[319] arXiv:1804.11070 (cross-list from math.CA) [pdf, other]

Title: Nonlinear multivalued Duffing systems

Nikolaos S. Papageorgiou, Calogero Vetro, Francesca Vetro

Subjects: Classical Analysis and ODEs (math.CA); Analysis of PDEs (math.AP)

[320] arXiv:1804.11092 (cross-list from math-ph) [pdf, other]

Title: Shape and size dependence of dipolar plasmonic resonance of nanoparticles

Habib Ammari, Pierre Millien

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Spectral Theory (math.SP)

[321] arXiv:1804.11167 (cross-list from math.CA) [pdf, other]

Title: The L^p-to-L^q boundedness of commutators with applications to the Jacobian operator

Tuomas P. Hytönen

Comments: V4: 40 pages, final author version to appear in J. Math. Pures Appl. New examples on the non-degeneracy condition and some new references. V3: Minor revision: a couple of new references and short related discussion; numbering scheme changed. V2: Corrected a detail in the proof of Theorem 3.7 on page 22 (random d-th roots of unity are needed here rather than random signs)

Subjects: Classical Analysis and ODEs (math.CA); Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[322] arXiv:1804.11206 (cross-list from math-ph) [pdf, other]

Title: Solvable models of quantum beating

R. Carlone, R. Figari, C. Negulescu, L. Tentarelli

Comments: arXiv admin note: text overlap with arXiv:1610.00379

Journal-ref: Nanosystems: Phys. Chem. Math. 9 (2018), no. 2, 162-170

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Quantum Physics (quant-ph)

[323] arXiv:1804.11253 (cross-list from math.PR) [pdf, other]

Title: Global solutions to elliptic and parabolic $\Phi^4$ models in Euclidean space

Massimiliano Gubinelli, Martina Hofmanová

Comments: 63 pages

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

[324] arXiv:1804.11291 (cross-list from math.CA) [pdf, other]

Title: Sharp Strichartz inequalities for fractional and higher order Schr\"odinger equations

Gianmarco Brocchi, Diogo Oliveira e Silva, René Quilodrán

Comments: 50 pages, 2 figures; v3: extended remark after Proposition 6.7, typos corrected

Journal-ref: Analysis & PDE 13 (2020) 477-526

Subjects: Classical Analysis and ODEs (math.CA); Analysis of PDEs (math.AP)