05128nam a22006255i 4500 978-3-031-56732-2 DE-He213 20251030112630.0 cr nn 008mamaa 240715s2024 sz | s |||| 0|eng d 9783031567322 978-3-031-56732-2 10.1007/978-3-031-56732-2 doi QA299.6-433 PBK bicssc MAT034000 bisacsh PBK thema Modern Problems in PDEs and Applications [electronic resource] : Extended Abstracts of the 2023 GAP Center Summer School / edited by Marianna Chatzakou, Joel Restrepo, Michael Ruzhansky, Berikbol Torebek, Karel Van Bockstal. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024. VIII, 190 p. 18 illus., 13 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Research Perspectives Ghent Analysis and PDE Center, 2948-1732 ; 4 Part I Mini-courses -- The Hardy constant: a review -- Some harmonic analysis in a general Gaussian setting -- Introduction to hypercomplex analysis -- Some norm bounds for the spectral projections of the Heisenberg sublaplacian -- Boundary value problems for elliptic operators satisfying Carleson condition -- An elementary computation of heat trace invariants -- Can we divide vectors? - Geometric calculus in Science and Engineering -- Maximal regularity as a tool for partial differential equations -- Recent existence results for some critical subelliptic problems -- Introduction to the Analysis on Manifolds with Conical Singularities -- Elliptic systems of phase transition type -- Cordes condition, Campanato nearness and beyond -- Part II Short talks -- Global hypoellipticity on homogeneous vector bundles: Necessary and sufficient conditions -- On inverse source problems for space-dependent sources in thermoelasticity -- Symmetric properties of eigenvalues and eigenfunctions of uniform beams with axial loads -- Cylindrical and horizontal extensions of critical Sobolev type inequalities and identities -- Very weak solution of the wave equation for Sturm-Liouville operator -- Some new multidimensional Cochran-Lee and Hardy type inequalities. The principal aim of the volume is gathering all the contributions given by the speakers (mini courses) and some of the participants (short talks) of the summer school "Modern Problems in PDEs and Applications" held at the Ghent Analysis and PDE Center from 23 August to 2 September 2023. The school was devoted to the study of new techniques and approaches for solving partial differential equations, which can either be considered or arise from the physical point of view or the mathematical perspective. Both sides are extremely important since theories and methods can be developed independently, aiming to gather each other in a common objective. The aim of the summer school was to progress and advance in the problems considered. Note that real-world problems and their applications are classical study trends in physical or mathematical modelling. The summer school was organised in a friendly atmosphere and synergy, and it was an excellent opportunity to promote and encourage the development of the subject in the community. Mathematical analysis. 64178 Differential equations. Global analysis (Mathematics). 69682 Manifolds (Mathematics). 69683 Harmonic analysis. 72301 Analysis. Differential Equations. Global Analysis and Analysis on Manifolds. 69685 Abstract Harmonic Analysis. 72305 Chatzakou, Marianna. editor. edt http://id.loc.gov/vocabulary/relators/edt 80629 Restrepo, Joel. editor. edt http://id.loc.gov/vocabulary/relators/edt 71934 Ruzhansky, Michael. editor. (orcid)0000-0003-4789-1982 https://orcid.org/0000-0003-4789-1982 edt http://id.loc.gov/vocabulary/relators/edt 71935 Torebek, Berikbol. editor. edt http://id.loc.gov/vocabulary/relators/edt 80630 Van Bockstal, Karel. editor. (orcid)0000-0002-1898-7611 https://orcid.org/0000-0002-1898-7611 edt http://id.loc.gov/vocabulary/relators/edt 72992 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031567315 Printed edition: 9783031567339 Printed edition: 9783031567346 Research Perspectives Ghent Analysis and PDE Center, 2948-1732 ; 4 71936 https://doi.org/10.1007/978-3-031-56732-2 ZDB-2-SMA ZDB-2-SXMS 61626 61626