# Local solution of parabolic equations with strongly increasing nonlinearity by the Rothe method

Czechoslovak Mathematical Journal (1988)

- Volume: 38, Issue: 4, page 642-654
- ISSN: 0011-4642

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top## How to cite

topPluschke, Volker. "Local solution of parabolic equations with strongly increasing nonlinearity by the Rothe method." Czechoslovak Mathematical Journal 38.4 (1988): 642-654. <http://eudml.org/doc/13738>.

@article{Pluschke1988,

author = {Pluschke, Volker},

journal = {Czechoslovak Mathematical Journal},

keywords = {Rothe method; Lipschitz condition; increase of nonlinearity; error estimate; Sobolev spaces},

language = {eng},

number = {4},

pages = {642-654},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Local solution of parabolic equations with strongly increasing nonlinearity by the Rothe method},

url = {http://eudml.org/doc/13738},

volume = {38},

year = {1988},

}

TY - JOUR

AU - Pluschke, Volker

TI - Local solution of parabolic equations with strongly increasing nonlinearity by the Rothe method

JO - Czechoslovak Mathematical Journal

PY - 1988

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 38

IS - 4

SP - 642

EP - 654

LA - eng

KW - Rothe method; Lipschitz condition; increase of nonlinearity; error estimate; Sobolev spaces

UR - http://eudml.org/doc/13738

ER -

## References

top- J. Kačur, Method of Rothe in Evolution Equations, BSB B. G. Teubner Verlagsges., Leipzig 1985. (1985) Zbl0582.65084MR0834176
- O. A. Ладъшсеиская H. H. Уралъцева, Линейные и квазилинейные уравнения эллиптического типа, Изд. Наука, Москва 1973. (1973) Zbl1221.53041
- V. Pluschke, 10.1080/17476938708814207, Complex Variables 7 (1987), 321-336. (1987) Zbl0554.35073MR0889118DOI10.1080/17476938708814207
- V. Pluschke, An Existence Theorem for a Quasilinear Hyperbolic Boundary Value Problem Solved by Semidiscretization in Time, Z. Anal. Anwend. 5 (1986), 157-168. (1986) Zbl0592.35090MR0837643
- K. Rektorys, The Method of Discretization in Time and Partial Differential Equations, Reidel Publ. Соmр., Dortrecht -Boston-London 1982. (1982) Zbl0522.65059MR0689712
- Ch. G. Simader, On Dirichlet's Boundary Value Problem, Lecture Notes in Math. 268, Springer-Verl., Berlin-Heidelberg-New York 1972. (1972) Zbl0242.35027MR0473503

## Citations in EuDML Documents

top- Marián Slodička, Error estimate of approximate solution for a quasilinear parabolic integrodifferential equation in the ${L}_{p}$-space
- Marián Slodička, An investigation of convergence and error estimate of approximate solution for a quasilinear parabolic integrodifferential equation
- Volker Pluschke, Frank Weber, The local solution of a parabolic-elliptic equation with a nonlinear Neumann boundary condition

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