Research Group of Prof. Dr. M. Griebel
Institute for Numerical Simulation
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Literatur

Ad
R. A. ADAMS: Sobolev spaces. Academic Press (1975)

ADN
S. AGMON, A. DOUGLIS, L. NIRENBERG: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I. Comm. Pure Appl. Math. 12, pp. 623-727 (1959)

Alt
H. W. ALT: Lineare Funktionalanalysis. 3. Auflage, Springer (1999)

Bgr
M. S. BERGER: Nonlinearity and functional analyis. Academic Press, New York, San Francisco, London (1977)

BL
H. BERESTYCKI, B. LARROUTUROU: A semilinear elliptic equation in a strip arising in a two-dimensional flame propagation model. J. für Reine und Angewandte Mathematik 396, pp. 14-40 (1989)

BLL
H. BERESTYCKI, B. LARROUTUROU, P. L. LIONS: Multi-dimensional travelling-wave solutions of a flame propagation model. Archive for Rational Mechanics and Analysis 111 (1), pp. 33-49 (1990)

BN1
H. BERESTYCKI, L. NIRENBERG: Some qualitative properties of solutions of semilinear elliptic equations in cylindrical domains. Analysis, et cetera, Academic Press, Boston, pp. 115-164 (1990)

BN2
H. BERESTYCKI, L. NIRENBERG: Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations. J. Geom. and Phys. 5 (2), pp. 237-275 (1988)

GNN
B. GIDAS, W.-M. NI, L. NIRENBERG: Symmetry and related properties via the maximum principle. Communications in Mathematical Physics 68, pp. 209-243 (1979)

GT
D. GILBARG, N. S. TRUDINGER: Elliptic partial differential equations of second order. 2nd edition. Springer (1983)

GKM
D. GROMOLL, W. KLINGENBERG, W. MEYER: Riemannsche Geometrie im Großen. Springer, Lecture Notes in Mathematics (1968)

Ham
R. S. HAMILTON: Harmonic maps of manifolds with boundary. Springer, Lecture Notes in Mathematics (1975)

Hil1
S. HILDEBRANDT: Vorlesung über partielle Differentialgleichungen. Bonn, akademisches Jahr 1986-87

Hil2
S. HILDEBRANDT: Vorlesung über partielle Differentialgleichungen. Bonn, Sommersemester 1997

Nir
L. NIRENBERG: Remarks on strongly elliptic partial differential equations. Comm. Pure Appl. Math. 8, pp. 649-675 (1955)

PW
M. H. PROTTER, H. F. WEINBERGER: Maximum principles in differential equations. Prentice-Hall (1967)

Wal
W. WALTER: Gewöhnliche Differentialgleichungen. 5. Auflage, Springer (1993)


Marcel Arndt
Tue Mar 28 09:56:06 MSZ 2000