Dirichlet forms for general Wentzell boundary conditions, analytic semigroups, and cosine operator functions
The aim of this paper is to study uniformly elliptic operators with general Wentzell boundary conditions in suitable $L^p$-spaces by using the approach of sesquilinear forms. We use different tools to re-prove analiticity and related results concerning the semigroups generated by the above o...
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Texas State University
2006-09-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/118/abstr.html |
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doaj-863dc521e9f94adb844b3ceac93a2a0f2020-11-25T01:36:41ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912006-09-012006118120Dirichlet forms for general Wentzell boundary conditions, analytic semigroups, and cosine operator functionsDelio MugnoloSilvia RomanelliThe aim of this paper is to study uniformly elliptic operators with general Wentzell boundary conditions in suitable $L^p$-spaces by using the approach of sesquilinear forms. We use different tools to re-prove analiticity and related results concerning the semigroups generated by the above operators. In addition, we make some complementary observations on, among other things, compactness issues and characterization of domains.http://ejde.math.txstate.edu/Volumes/2006/118/abstr.htmlGeneral Wentzell boundary conditionsDirichlet formsUltracontractive semigroupsCosine operator functions. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Delio Mugnolo Silvia Romanelli |
| spellingShingle |
Delio Mugnolo Silvia Romanelli Dirichlet forms for general Wentzell boundary conditions, analytic semigroups, and cosine operator functions Electronic Journal of Differential Equations General Wentzell boundary conditions Dirichlet forms Ultracontractive semigroups Cosine operator functions. |
| author_facet |
Delio Mugnolo Silvia Romanelli |
| author_sort |
Delio Mugnolo |
| title |
Dirichlet forms for general Wentzell boundary conditions, analytic semigroups, and cosine operator functions |
| title_short |
Dirichlet forms for general Wentzell boundary conditions, analytic semigroups, and cosine operator functions |
| title_full |
Dirichlet forms for general Wentzell boundary conditions, analytic semigroups, and cosine operator functions |
| title_fullStr |
Dirichlet forms for general Wentzell boundary conditions, analytic semigroups, and cosine operator functions |
| title_full_unstemmed |
Dirichlet forms for general Wentzell boundary conditions, analytic semigroups, and cosine operator functions |
| title_sort |
dirichlet forms for general wentzell boundary conditions, analytic semigroups, and cosine operator functions |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2006-09-01 |
| description |
The aim of this paper is to study uniformly elliptic operators with general Wentzell boundary conditions in suitable $L^p$-spaces by using the approach of sesquilinear forms. We use different tools to re-prove analiticity and related results concerning the semigroups generated by the above operators. In addition, we make some complementary observations on, among other things, compactness issues and characterization of domains. |
| topic |
General Wentzell boundary conditions Dirichlet forms Ultracontractive semigroups Cosine operator functions. |
| url |
http://ejde.math.txstate.edu/Volumes/2006/118/abstr.html |
| work_keys_str_mv |
AT deliomugnolo dirichletformsforgeneralwentzellboundaryconditionsanalyticsemigroupsandcosineoperatorfunctions AT silviaromanelli dirichletformsforgeneralwentzellboundaryconditionsanalyticsemigroupsandcosineoperatorfunctions |
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1725061561945423872 |