Nash-Moser techniques for nonlinear boundary-value problems

Simple item page
dc.contributor.authorPoppenberg, Markus
dc.date.accessioned2020-11-23T21:21:57Z
dc.date.available2020-11-23T21:21:57Z
dc.date.issued2003-05-05
dc.description.abstractA new linearization method is introduced for smooth short-time solvability of initial boundary value problems for nonlinear evolution equations. The technique based on an inverse function theorem of Nash-Moser type is illustrated by an application in the parabolic case. The equation and the boundary conditions may depend fully nonlinearly on time and space variables. The necessary compatibility conditions are transformed using a Borel's theorem. A general trace theorem for normal boundary conditions is proved in spaces of smooth functions by applying tame splitting theory in Frechet spaces. The linearized parabolic problem is treated using maximal regularity in analytic semigroup theory, higher order elliptic a priori estimates and simultaneous continuity in trace theorems in Sobolev spaces.
dc.description.departmentMathematics
dc.formatText
dc.format.extent33 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationPoppenberg, M. (2003). Nash-Moser techniques for nonlinear boundary-value problems. <i>Electronic Journal of Differential Equations, 2003</i>(54), pp. 1-33.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12994
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectNash-Moser
dc.subjectInverse function theorem
dc.subjectBoundary-value problem
dc.subjectParabolic
dc.subjectAnalytic semigroup
dc.subjectEvolution system
dc.subjectMaximal regularity
dc.subjectTrace theorem
dc.titleNash-Moser techniques for nonlinear boundary-value problems
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
poppenberg.pdf
Size:
358.58 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations