000 05128nam a22006255i 4500
001 978-3-031-56732-2
003 DE-He213
005 20251030112630.0
007 cr nn 008mamaa
008 240715s2024 sz | s |||| 0|eng d
020 _a9783031567322
_9978-3-031-56732-2
024 7 _a10.1007/978-3-031-56732-2
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
245 1 0 _aModern Problems in PDEs and Applications
_h[electronic resource] :
_bExtended Abstracts of the 2023 GAP Center Summer School /
_cedited by Marianna Chatzakou, Joel Restrepo, Michael Ruzhansky, Berikbol Torebek, Karel Van Bockstal.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Birkhäuser,
_c2024.
300 _aVIII, 190 p. 18 illus., 13 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aResearch Perspectives Ghent Analysis and PDE Center,
_x2948-1732 ;
_v4
505 0 _a 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.
520 _aThe 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.
650 0 _aMathematical analysis.
_964178
650 0 _aDifferential equations.
650 0 _aGlobal analysis (Mathematics).
_969682
650 0 _aManifolds (Mathematics).
_969683
650 0 _aHarmonic analysis.
_972301
650 1 4 _aAnalysis.
650 2 4 _aDifferential Equations.
650 2 4 _aGlobal Analysis and Analysis on Manifolds.
_969685
650 2 4 _aAbstract Harmonic Analysis.
_972305
700 1 _aChatzakou, Marianna.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_980629
700 1 _aRestrepo, Joel.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_971934
700 1 _aRuzhansky, Michael.
_eeditor.
_0(orcid)0000-0003-4789-1982
_1https://orcid.org/0000-0003-4789-1982
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_971935
700 1 _aTorebek, Berikbol.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_980630
700 1 _aVan Bockstal, Karel.
_eeditor.
_0(orcid)0000-0002-1898-7611
_1https://orcid.org/0000-0002-1898-7611
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_972992
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031567315
776 0 8 _iPrinted edition:
_z9783031567339
776 0 8 _iPrinted edition:
_z9783031567346
830 0 _aResearch Perspectives Ghent Analysis and PDE Center,
_x2948-1732 ;
_v4
_971936
856 4 0 _uhttps://doi.org/10.1007/978-3-031-56732-2
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c61626
_d61626