prikaz prve stranice dokumenta Application of H-measures to evolution equations
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doctoral thesis
Application of H-measures to evolution equations
Zagreb: University of Zagreb, Faculty of Science, 2024. urn:nbn:hr:217:028449
Grbac, Matko
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Grbac, M. (2024). Application of H-measures to evolution equations (Doctoral thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:028449

Grbac, Matko. "Application of H-measures to evolution equations." Doctoral thesis, University of Zagreb, Faculty of Science, 2024. https://urn.nsk.hr/urn:nbn:hr:217:028449

Grbac, Matko. "Application of H-measures to evolution equations." Doctoral thesis, University of Zagreb, Faculty of Science, 2024. https://urn.nsk.hr/urn:nbn:hr:217:028449

Grbac, M. (2024). 'Application of H-measures to evolution equations', Doctoral thesis, University of Zagreb, Faculty of Science, accessed 22 March 2025, https://urn.nsk.hr/urn:nbn:hr:217:028449

Grbac M. Application of H-measures to evolution equations [Doctoral thesis]. Zagreb: University of Zagreb, Faculty of Science; 2024 [cited 2025 March 22] Available at: https://urn.nsk.hr/urn:nbn:hr:217:028449

M. Grbac, "Application of H-measures to evolution equations", Doctoral thesis, University of Zagreb, Faculty of Science, Zagreb, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:217:028449

Metadata
TitleApplication of H-measures to evolution equations
Title (croatian)Primjena H-mjera na evolucijske jednadžbe
AuthorMatko Grbac
MentorNenad Antonić (mentor)
Committee memberMarko Erceg (predsjednik povjerenstva)
Committee memberMarko Vrdoljak (član povjerenstva)
Committee memberIvan Ivec (član povjerenstva)
Committee memberMario Bukal (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2024-12-19, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Universal decimal classification
(UDC)		51 - Mathematics
Abstract
In the thesis evolution equations of second order in t are studied. Some standard results regarding the existence, uniqueness, and well-posedness of the semilinear wave equation are revisited in the first part and generalised to the case where the coefficients have only bounded variation with respect to time. The second part begins with an introduction to the theory of pseudodifferential operators and microlocal analysis tools, with an emphasis on the notion of H-measures and their main... More properties. The theory is then applied to both linear and semilinear wave equations. The results in this part generalize the work of Francfort and Murat, allowing the coefficients of the equation to depend on the time variable as well. Less
Abstract (croatian)
Disertacija se bavi proučavanjem evolucijskih jednadžbi drugog reda u t. U prvom dijelu disertacije revidiraju se i generaliziraju standardni rezultati o postojanju i jedinstvenosti rješenja, te dobroj postavljenosti polulinearne valne jednadžbe na slučaj kada koeficijenti imaju samo ograničenu varijaciju s obzirom na vremensku varijablu. Drugi dio disertacije započinje uvodom u teoriju pseudodiferencijalnih operatora i alata mikrolokalne analize, s naglaskom na pojam H-mjera i... More njihovih glavnih svojstava. Zatim se teorija primjenjuje na slučajeve linearne i polulinearne valne jednadžbe. Rezultati u ovom dijelu generaliziraju rad Francforta i Murata, omogućujući da koeficijenti jednadžbe također ovise o vremenskoj varijabli. Less
Keywords
Keywords (croatian)
Languageenglish
URN:NBNurn:nbn:hr:217:028449
Study programmeTitle: Doctoral study
Study programme type: university
Study level: postgraduate
Academic / professional title: doktor/doktorica u području prirodnih znanosti (doktor/doktorica u području prirodnih znanosti)
Type of resourceText
Extentv, 99 str.
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2025-01-31 11:19:45
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