Matches in SemOpenAlex for { <https://semopenalex.org/work/W2023542822> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W2023542822 endingPage "797" @default.
- W2023542822 startingPage "776" @default.
- W2023542822 abstract "We consider the wave equation damped by a nonlinear boundary velocity feedback q(ut). First we consider the case where q has a linear growth at infinity. We prove that the usual decay rate estimates proved by Nakao [Differential Integral Equations, 8 (1995), pp. 681--688], Haraux and Zuazua [Arch. Rational Mech. Anal., 100 (1988), pp. 191--206], Conrad, Leblond, and Marmorat [in Proceedings of the Fifth International Federation of Automatic Control Symposium on Control of Distributed Parameter Systems, Perpignan, 1989, pp. 101--116], Zuazua [SIAM J. Control Optim., 28 (1990), pp. 466--477], and Komornik [in Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena, Internat. Ser. Numer. Math. 118, Birkhäuser, Basel, 1994, pp. 253--266] when q has a polynomial behavior at zero and by the second author [ESAIM Control Optim. Calc. Var., 4 (1999), pp. 419--444] in the general case are in fact optimal in one space dimension. More generally, we prove that the energy decays exactly like the solution of an explicit and simple ordinary differential equation. Next we study the problem when q is bounded at infinity. We prove that strong solutions decay exponentially to zero, and we exhibit a sequence of weak solutions for which the associated energy decays to zero at infinity as slowly as the iterated logarithms go to infinity at infinity." @default.
- W2023542822 created "2016-06-24" @default.
- W2023542822 creator A5004023156 @default.
- W2023542822 creator A5038423252 @default.
- W2023542822 date "2000-01-01" @default.
- W2023542822 modified "2023-09-24" @default.
- W2023542822 title "Optimality of Energy Estimates for the Wave Equation with Nonlinear Boundary Velocity Feedbacks" @default.
- W2023542822 cites W1971802213 @default.
- W2023542822 cites W1987299272 @default.
- W2023542822 cites W1992941868 @default.
- W2023542822 cites W2001156598 @default.
- W2023542822 cites W2018527007 @default.
- W2023542822 cites W2018698233 @default.
- W2023542822 cites W2040061577 @default.
- W2023542822 cites W2050830911 @default.
- W2023542822 cites W2074967493 @default.
- W2023542822 cites W2123621441 @default.
- W2023542822 doi "https://doi.org/10.1137/s0363012999354211" @default.
- W2023542822 hasPublicationYear "2000" @default.
- W2023542822 type Work @default.
- W2023542822 sameAs 2023542822 @default.
- W2023542822 citedByCount "52" @default.
- W2023542822 countsByYear W20235428222012 @default.
- W2023542822 countsByYear W20235428222013 @default.
- W2023542822 countsByYear W20235428222014 @default.
- W2023542822 countsByYear W20235428222015 @default.
- W2023542822 countsByYear W20235428222016 @default.
- W2023542822 countsByYear W20235428222017 @default.
- W2023542822 countsByYear W20235428222018 @default.
- W2023542822 countsByYear W20235428222019 @default.
- W2023542822 countsByYear W20235428222020 @default.
- W2023542822 countsByYear W20235428222021 @default.
- W2023542822 countsByYear W20235428222023 @default.
- W2023542822 crossrefType "journal-article" @default.
- W2023542822 hasAuthorship W2023542822A5004023156 @default.
- W2023542822 hasAuthorship W2023542822A5038423252 @default.
- W2023542822 hasConcept C121332964 @default.
- W2023542822 hasConcept C134306372 @default.
- W2023542822 hasConcept C138885662 @default.
- W2023542822 hasConcept C140479938 @default.
- W2023542822 hasConcept C158622935 @default.
- W2023542822 hasConcept C202444582 @default.
- W2023542822 hasConcept C2780813799 @default.
- W2023542822 hasConcept C33676613 @default.
- W2023542822 hasConcept C33923547 @default.
- W2023542822 hasConcept C34388435 @default.
- W2023542822 hasConcept C39927690 @default.
- W2023542822 hasConcept C41895202 @default.
- W2023542822 hasConcept C62354387 @default.
- W2023542822 hasConcept C62520636 @default.
- W2023542822 hasConcept C7321624 @default.
- W2023542822 hasConcept C90119067 @default.
- W2023542822 hasConcept C90377204 @default.
- W2023542822 hasConceptScore W2023542822C121332964 @default.
- W2023542822 hasConceptScore W2023542822C134306372 @default.
- W2023542822 hasConceptScore W2023542822C138885662 @default.
- W2023542822 hasConceptScore W2023542822C140479938 @default.
- W2023542822 hasConceptScore W2023542822C158622935 @default.
- W2023542822 hasConceptScore W2023542822C202444582 @default.
- W2023542822 hasConceptScore W2023542822C2780813799 @default.
- W2023542822 hasConceptScore W2023542822C33676613 @default.
- W2023542822 hasConceptScore W2023542822C33923547 @default.
- W2023542822 hasConceptScore W2023542822C34388435 @default.
- W2023542822 hasConceptScore W2023542822C39927690 @default.
- W2023542822 hasConceptScore W2023542822C41895202 @default.
- W2023542822 hasConceptScore W2023542822C62354387 @default.
- W2023542822 hasConceptScore W2023542822C62520636 @default.
- W2023542822 hasConceptScore W2023542822C7321624 @default.
- W2023542822 hasConceptScore W2023542822C90119067 @default.
- W2023542822 hasConceptScore W2023542822C90377204 @default.
- W2023542822 hasIssue "3" @default.
- W2023542822 hasLocation W20235428221 @default.
- W2023542822 hasOpenAccess W2023542822 @default.
- W2023542822 hasPrimaryLocation W20235428221 @default.
- W2023542822 hasRelatedWork W109261043 @default.
- W2023542822 hasRelatedWork W2004351213 @default.
- W2023542822 hasRelatedWork W2029737960 @default.
- W2023542822 hasRelatedWork W2069802251 @default.
- W2023542822 hasRelatedWork W2086905702 @default.
- W2023542822 hasRelatedWork W2289441643 @default.
- W2023542822 hasRelatedWork W2358362190 @default.
- W2023542822 hasRelatedWork W2963721618 @default.
- W2023542822 hasRelatedWork W3104790087 @default.
- W2023542822 hasRelatedWork W4320339873 @default.
- W2023542822 hasVolume "39" @default.
- W2023542822 isParatext "false" @default.
- W2023542822 isRetracted "false" @default.
- W2023542822 magId "2023542822" @default.
- W2023542822 workType "article" @default.