-
1
-
-
0030078631
-
Second order evolution equations with dynamic boundary conditions
-
DOI 10.1006/jmaa.1996.0053
-
K. T. Andrews, K. L. Kuttler, and M. Shillor, Second order evolution equations with dynamic boundary conditions, J. Math. Anal. Appl. 197 (1996), 781-795. MR1373080 (96m:34116) (Pubitemid 126168155)
-
(1996)
Journal of Mathematical Analysis and Applications
, vol.197
, Issue.3
, pp. 781-795
-
-
Andrews, K.T.1
Kuttler, K.L.2
Shillor, M.3
-
2
-
-
0003307607
-
Vector-valued laplace transforms and cauchy problems
-
Birkhauser Verlag MR1886588 (2003g:47072)
-
W. Arendt, C. J. K. Batty, M. Hieber and F. Neubrander, Vector-valued Laplace Transforms and Cauchy Problems, Monographs Math. 96, Birkhauser Verlag, 2001. MR1886588 (2003g:47072)
-
(2001)
Monographs Math.
, vol.96
-
-
Arendt, W.1
Batty, C.J.K.2
Hieber, M.3
Neubrander, F.4
-
3
-
-
0026221924
-
On damping mechanisms in beams
-
H. T. Banks and D. J. Inman, On damping mechanisms in beams, ASME Trans. 58 (1991), 716-723.
-
(1991)
ASME Trans.
, vol.58
, pp. 716-723
-
-
Banks, H.T.1
Inman, D.J.2
-
4
-
-
8644235109
-
Abstract wave equations with generalized Wentzell boundary conditions
-
DOI 10.1016/j.jde.2003.12.005, PII S0022039604003420
-
A. Batkai and K.-J. Engel, Abstract wave equations with generalized Wentzell boundary conditions, J. Differential Equations 207 (2004), 1-20. MR2100812 (2005g:34124) (Pubitemid 39498802)
-
(2004)
Journal of Differential Equations
, vol.207
, Issue.1
, pp. 1-20
-
-
Batkai, A.1
Engel, K.-J.2
-
6
-
-
0242508582
-
A semigroup approach to boundary feedback systems
-
DOI 10.1007/s00020-002-1163-2
-
V. Casarino, K.-J. Engel, R. Nagel, and G. Nickel, A semigroup approach to boundary feedback systems, Integral Equations Operator Theory 47 (2003), 289-306. MR2012840 (2004j:34128) (Pubitemid 37374047)
-
(2003)
Integral Equations and Operator Theory
, vol.47
, Issue.3
, pp. 289-306
-
-
Casarino, V.1
Engel, K.-J.2
Nagel, R.3
Nickel, G.4
-
7
-
-
0003215222
-
One-parameter semigroups for linear evolution equations
-
Springer-Verlag, Berlin, New York MR1721989 (2000i:47075)
-
K.-J. Engel and R. Nagel, One-parameter Semigroups for Linear Evolution Equations, GTM 194, Springer-Verlag, Berlin, New York, 2000. MR1721989 (2000i:47075)
-
(2000)
GTM 194
-
-
Engel, K.-J.1
Nagel, R.2
-
8
-
-
0000401812
-
Quasilinear parabolic systems with dynamical boundary conditions
-
MR1233197 (94g:35112)
-
J. Escher, Quasilinear parabolic systems with dynamical boundary conditions, Comm. Part. Diff. Equations 18 (1993), 1309-1364. MR1233197 (94g:35112)
-
(1993)
Comm. Part. Diff. Equations
, vol.18
, pp. 1309-1364
-
-
Escher, J.1
-
10
-
-
23044520753
-
Co-semigroups generated by second order differential operators with general Wentzell boundary conditions
-
MR1695147 (2000m:47054)
-
A. Favini, G. R. Goldstein, J. A. Goldstein and S. Romanelli, Co-semigroups generated by second order differential operators with general Wentzell boundary conditions, Proc. Amer. Math. Soc. 128 (2000), 1981-1989. MR1695147 (2000m:47054)
-
(2000)
Proc. Amer. Math. Soc.
, vol.128
, pp. 1981-1989
-
-
Favini, A.1
Goldstein, G.R.2
Goldstein, J.A.3
Romanelli, S.4
-
11
-
-
0346322788
-
Generalized Wentzell boundary conditions and analytic semigroups in C[0, 1]
-
Newport Beach, CA Progr. Nonlinear Diff. Equations Appl. 42, Birkhauser, Basel, 2000. MR1788874 (2001h:47061)
-
A. Favini, G. R. Goldstein, J. A. Goldstein and S. Romanelli, Generalized Wentzell boundary conditions and analytic semigroups in C[0, 1], In: Semigroups of Operators: Theory and Applications (Newport Beach, CA, 1998), 125-131, Progr. Nonlinear Diff. Equations Appl. 42, Birkhauser, Basel, 2000. MR1788874 (2001h:47061)
-
(1998)
Semigroups of Operators: Theory and Applications
, pp. 125-131
-
-
Favini, A.1
Goldstein, G.R.2
Goldstein, J.A.3
Romanelli, S.4
-
12
-
-
0141495895
-
The heat equation with generalized Wentzell boundary condition
-
DOI 10.1007/s00028-002-8077-y
-
A. Favini, G. R. Goldstein, J. A. Goldstein and S. Romanelli, The heat equation with generalized Wentzell boundary condition, J. Evolution Equations 2 (2002), 1-19. MR1890879 (2003b:35089) (Pubitemid 135713584)
-
(2002)
Journal of Evolution Equations
, vol.2
, Issue.1
, pp. 1-19
-
-
Favini, A.1
Goldstein, G.R.2
Goldstein, J.A.3
Romanelli, S.4
-
13
-
-
0001742402
-
Conditions for parabolicity of second order abstract differential equations
-
MR1123349 (92m:47078)
-
A. Favini and E. Obrecht, Conditions for parabolicity of second order abstract differential equations, Diff. Integral Equations 4 (1991), 1005-1022. MR1123349 (92m:47078)
-
(1991)
Diff. Integral Equations
, vol.4
, pp. 1005-1022
-
-
Favini, A.1
Obrecht, E.2
-
14
-
-
0042995536
-
Some nonlinear wave equations with acoustic boundary conditions
-
MR1761418 (2001h:35126)
-
C. L. Frota and J. A. Goldstein, Some nonlinear wave equations with acoustic boundary conditions, J. Differential Equations 164 (2000), 92-109. MR1761418 (2001h:35126)
-
(2000)
J. Differential Equations
, vol.164
, pp. 92-109
-
-
Frota, C.L.1
Goldstein, J.A.2
-
15
-
-
0041385195
-
On the convergence and approximation of cosine functions
-
MR0358435 (50:10901)
-
J. A. Goldstein, On the convergence and approximation of cosine functions, Aequationes Math. 10 (1974), 201-205. MR0358435 (50:10901)
-
(1974)
Aequationes Math.
, vol.10
, pp. 201-205
-
-
Goldstein, J.A.1
-
16
-
-
0003204167
-
Semigroups of linear operators and applications
-
Oxford Univ. Press, New York MR790497 (87c:47056)
-
J. A. Goldstein, Semigroups of Linear Operators and Applications, Oxford Math. Monographs, Oxford Univ. Press, New York, 1985. MR790497 (87c:47056)
-
(1985)
Oxford Math. Monographs
-
-
Goldstein, J.A.1
-
17
-
-
1642303112
-
Oscillatory boundary conditions for acoustic wave equations
-
DOI 10.1007/s00028-003-0113-z
-
C. G. Gal, G. R. Goldstein, and J. A. Goldstein, Oscillatory boundary conditions for acoustic wave equations, J. Evolution Equations 3 (2003), 623-635. MR2058054 (2005g:35188) (Pubitemid 38390790)
-
(2003)
Journal of Evolution Equations
, vol.3
, Issue.4
, pp. 623-635
-
-
Gal, C.G.1
Goldstein, G.R.2
Goldstein, J.A.3
-
18
-
-
0032358487
-
The Trotter-Kato theorem and approximation of PDEs
-
DOI 10.1090/S0025-5718-98-00915-6
-
K. Ito and F. Kappel, , The Trotter-Kato theorem and approximation of PDEs, Math. Comp. 67 (1998), 21-44. MR1443120 (98e:47060) (Pubitemid 128027421)
-
(1998)
Mathematics of Computation
, vol.67
, Issue.221
, pp. 21-44
-
-
Ito, K.1
Kappel, F.2
-
19
-
-
0040062320
-
Remarks on pseudo-resolvents and infinitesimal generators of semi-groups
-
MR0117570 (22:8347)
-
T. Kato, Remarks on pseudo-resolvents and infinitesimal generators of semi-groups, Proc. Japan Acad. 35 (1959), 467-468. MR0117570 (22:8347)
-
(1959)
Proc. Japan Acad.
, vol.35
, pp. 467-468
-
-
Kato, T.1
-
21
-
-
4644362615
-
Theory and applications of one-sided coupled operator matrices
-
MR1966540 (2004e:47062)
-
M. Kramar, D. Mugnolo, and R. Nagel, Theory and applications of one-sided coupled operator matrices, Conf. Semin. Mat. Univ. Bari 283 (2002), 1-29. MR1966540 (2004e:47062)
-
(2002)
Conf. Semin. Mat. Univ. Bari
, vol.283
, pp. 1-29
-
-
Kramar, M.1
Mugnolo, D.2
Nagel, R.3
-
22
-
-
0040354346
-
Extensions of Trotter's operator semigroup approximation theorems
-
MR0242016 (39:3351)
-
T. Kurtz, Extensions of Trotter's operator semigroup approximation theorems, J. Funct. Anal. 3 (1969), 111-132. MR0242016 (39:3351)
-
(1969)
J. Funct. Anal.
, vol.3
, pp. 111-132
-
-
Kurtz, T.1
-
23
-
-
84968482205
-
A general theorem on the convergence of operator semigroups
-
MR0256210 (41:867)
-
T. Kurtz, A general theorem on the convergence of operator semigroups, Trans. Amer. Math. Soc. 148 (1970), 201-205. MR0256210 (41:867)
-
(1970)
Trans. Amer. Math. Soc.
, vol.148
, pp. 201-205
-
-
Kurtz, T.1
-
24
-
-
0000881888
-
Decay of solutions of wave equations in a bounded region with boundary dissipation
-
MR719445 (85f:35025)
-
J. Lagnese, Decay of solutions of wave equations in a bounded region with boundary dissipation, J. Differential Equations 50 (1983), 163-182. MR719445 (85f:35025)
-
(1983)
J. Differential Equations
, vol.50
, pp. 163-182
-
-
Lagnese, J.1
-
25
-
-
0141760350
-
Nonautonomous heat equations with generalized Wentzell boundary conditions
-
J. Liang, R. Nagel and T. J. Xiao, Nonautonomous heat equations with generalized Wentzell boundary conditions. J. Evolution Equations 3 (2003), 321-331. MR1980980 (2004b:35134) (Pubitemid 37118378)
-
(2003)
Journal of Evolution Equations
, vol.3
, Issue.2
, pp. 321-331
-
-
Liang, J.1
Nagel, R.2
Xiao, T.-J.3
-
27
-
-
0000687168
-
On an extension of the Trotter-Kato theorem for resolvent families of operators
-
MR1045773 (91c:47093)
-
C. Lizama, On an extension of the Trotter-Kato theorem for resolvent families of operators, J. Integral Equations Appl. 2 (1990), 269-280. MR1045773 (91c:47093)
-
(1990)
J. Integral Equations Appl.
, vol.2
, pp. 269-280
-
-
Lizama, C.1
-
28
-
-
0038624590
-
On approximation and representation of K-regularized resolvent families
-
MR1847173 (2002f:47085)
-
C. Lizama, On approximation and representation of K-regularized resolvent families, Integral Equations Operator Theory 41 (2001), 223-229. MR1847173 (2002f:47085)
-
(2001)
Integral Equations Operator Theory
, vol.41
, pp. 223-229
-
-
Lizama, C.1
-
29
-
-
43949176200
-
The Hille-Yosida and Trotter-Kato theorems for integrated semigroups
-
MR1251861 (94m:47082)
-
S. Nicaise, The Hille-Yosida and Trotter-Kato theorems for integrated semigroups, J. Math. Anal. Appl. 180 (1993), 201-205. MR1251861 (94m:47082)
-
(1993)
J. Math. Anal. Appl.
, vol.180
, pp. 201-205
-
-
Nicaise, S.1
-
31
-
-
33750050377
-
Differential equations in banach spaces II. Theory of cosine operator functions
-
DOI 10.1023/B:JOTH.0000029697.92324.47
-
S. Piskarev and V. V. Vasiliev, Differential equations in Banach spaces. II. Theory of cosine operator functions, Functional analysis. J. Math. Sci. (N. Y.) 122 (2004), 3055-3174. MR2084186 (2005d:34133) (Pubitemid 38729596)
-
(2004)
Journal of Mathematical Sciences
, vol.122
, Issue.2
, pp. 3055-3174
-
-
Vasil'ev, V.V.1
Piskarev, S.I.2
-
32
-
-
0042387351
-
Approximation of operator semi-groups
-
MR0254659 (40:7866)
-
T. I. Seidman, Approximation of operator semi-groups, J. Funct. Anal. 5 (1970), 160-166. MR0254659 (40:7866)
-
(1970)
J. Funct. Anal.
, vol.5
, pp. 160-166
-
-
Seidman, T.I.1
-
33
-
-
84972529309
-
Approximation of semi-groups of operators
-
MR0103420 (21:2190)
-
H. F. Trotter, Approximation of semi-groups of operators, Pacific J. Math. 8 (1958), 887-919. MR0103420 (21:2190)
-
(1958)
Pacific J. Math.
, vol.8
, pp. 887-919
-
-
Trotter, H.F.1
-
34
-
-
0003294457
-
The cauchy problem for higher order abstract differential equations
-
Springer, Berlin, New York MR1725643 (2001a:34099)
-
T. J. Xiao and J. Liang, The Cauchy Problem for Higher Order Abstract Differential Equations, Lect. Notes in Math., vol. 1701, Springer, Berlin, New York, 1998. MR1725643 (2001a:34099)
-
(1998)
Lect. Notes in Math.
, vol.1701
-
-
Xiao, T.J.1
Liang, J.2
-
35
-
-
0039051219
-
Approximations of Laplace transforms and integrated semigroups
-
MR1749872 (2001b:47072)
-
T. J. Xiao and J. Liang, Approximations of Laplace transforms and integrated semigroups, J. Funct. Anal. 172 (2000), 202-220. MR1749872 (2001b:47072)
-
(2000)
J. Funct. Anal.
, vol.172
, pp. 202-220
-
-
Xiao, T.J.1
Liang, J.2
-
36
-
-
0242339644
-
A solution to an open problem for wave equations with generalized Wentzell boundary conditions
-
DOI 10.1007/s00208-003-0457-2
-
T. J. Xiao and J. Liang, A solution to an open problem for wave equations with generalized Wentzell boundary conditions, Math. Ann. 327 (2003), 351-363. MR2015075 (2004m:35162) (Pubitemid 37364550)
-
(2003)
Mathematische Annalen
, vol.327
, Issue.2
, pp. 351-363
-
-
Xiao, T.-J.1
Liang, J.2
-
37
-
-
2342590155
-
Complete second order differential equations in Banach spaces with dynamic boundary conditions
-
DOI 10.1016/j.jde.2004.01.011
-
T. J. Xiao and J. Liang, Complete second order differential equations in Banach spaces with dynamic boundary conditions, J. Differential Equations 200 (2004), 105-136. MR2046319 (2005f:34167) (Pubitemid 38582654)
-
(2004)
Journal of Differential Equations
, vol.200
, Issue.1
, pp. 105-136
-
-
Xiao, T.-J.1
Liang, J.2
-
38
-
-
10044226966
-
Second order parabolic equations in Banach spaces with dynamic boundary conditions
-
DOI 10.1090/S0002-9947-04-03704-3, PII S0002994704037043
-
T. J. Xiao and J. Liang, Second order parabolic equations in Banach spaces with dynamic boundary conditions, Trans. Amer. Math. Soc. 356 (2004), 4787-4809. MR2084398 (2005e:34173) (Pubitemid 39603821)
-
(2004)
Transactions of the American Mathematical Society
, vol.356
, Issue.12
, pp. 4787-4809
-
-
Xiao, T.-J.1
Liang, J.2
-
39
-
-
0004021335
-
-
(6th edition), Springer-Verlag, New York MR617913 (82i:46002)
-
K. Yosida, Functional Analysis (6th edition), Springer-Verlag, New York, 1980. MR617913 (82i:46002)
-
(1980)
Functional Analysis
-
-
Yosida, K.1
|