On quasilinear parabolic equations and continuous maximal regularity

Jeremy LeCrone;  ; Gieri Simonett;

doi:10.3934/eect.2020017

On quasilinear parabolic equations and continuous maximal regularity

Evolution Equations and Control Theory ◽

10.3934/eect.2020017 ◽

2020 ◽

Vol 9 (1) ◽

pp. 61-86

Author(s):

Jeremy LeCrone ◽

◽

Gieri Simonett ◽

Keyword(s):

Parabolic Equations ◽

Maximal Regularity ◽

Quasilinear Parabolic Equations ◽

Quasilinear Parabolic

Download Full-text

Maximal regularity in continuous interpolation spaces and quasilinear parabolic equations

Journal of Evolution Equations ◽

10.1007/pl00001364 ◽

2001 ◽

Vol 1 (1) ◽

pp. 39-67 ◽

Cited By ~ 18

Author(s):

Philippe Clément ◽

Gieri Simonett

Keyword(s):

Parabolic Equations ◽

Maximal Regularity ◽

Interpolation Spaces ◽

Quasilinear Parabolic Equations ◽

Continuous Interpolation ◽

Quasilinear Parabolic

Download Full-text

Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations

Mathematics of Computation ◽

10.1090/mcom/3228 ◽

2017 ◽

Vol 86 (306) ◽

pp. 1527-1552 ◽

Cited By ~ 23

Author(s):

Georgios Akrivis ◽

Buyang Li ◽

Christian Lubich

Keyword(s):

Parabolic Equations ◽

Maximal Regularity ◽

Energy Estimates ◽

Quasilinear Parabolic Equations ◽

Quasilinear Parabolic

Download Full-text

THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30381-3 ◽

1990 ◽

Vol 10 (1) ◽

pp. 71-78

Author(s):

Zuchi Chen

Keyword(s):

Boundary Value Problem ◽

Parabolic Equations ◽

Boundary Value ◽

Quasilinear Parabolic Equations ◽

Strongly Degenerate ◽

Quasilinear Parabolic

Download Full-text

CLASSICAL PARABOLIC CAPACITY AND QUASILINEAR PARABOLIC EQUATIONS

Real Analysis Exchange ◽

10.2307/44151492 ◽

1979 ◽

Vol 5 (1) ◽

pp. 105

Author(s):

Ziemer

Keyword(s):

Parabolic Equations ◽

Quasilinear Parabolic Equations ◽

Parabolic Capacity ◽

Quasilinear Parabolic

Download Full-text

Central manifolds of quasilinear parabolic equations

Ukrainian Mathematical Journal ◽

10.1007/bf02528802 ◽

1998 ◽

Vol 50 (3) ◽

pp. 361-376 ◽

Cited By ~ 1

Author(s):

E. P. Belan ◽

O. B. Lykova

Keyword(s):

Parabolic Equations ◽

Quasilinear Parabolic Equations ◽

Quasilinear Parabolic

Download Full-text

The Cauchy problem for a system of quasilinear parabolic equations of chemical kinetics type

Journal of Mathematical Sciences ◽

10.1007/bf01254397 ◽

1994 ◽

Vol 69 (3) ◽

pp. 1110-1125

Author(s):

S. N. Kruzhkov ◽

A. N. Peregudov

Keyword(s):

Cauchy Problem ◽

Chemical Kinetics ◽

Parabolic Equations ◽

Quasilinear Parabolic Equations ◽

The Cauchy Problem ◽

Quasilinear Parabolic

Download Full-text

Blow-up directions for quasilinear parabolic equations

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s0308210506000801 ◽

2008 ◽

Vol 138 (02) ◽

pp. 379-405 ◽

Cited By ~ 10

Author(s):

Yukihiro Seki ◽

Noriaki Umeda ◽

Ryuichi Suzuki

Keyword(s):

Parabolic Equations ◽

Blow Up ◽

Quasilinear Parabolic Equations ◽

Quasilinear Parabolic

Download Full-text

AVERAGING OF QUASILINEAR PARABOLIC EQUATIONS WITH RAPIDLY OSCILLATING PRINCIPAL PART. EXPONENTIAL DICHOTOMY

Izvestiya Mathematics ◽

10.1070/im1993v041n01abeh002253 ◽

1993 ◽

Vol 41 (1) ◽

pp. 95-132 ◽

Cited By ~ 1

Author(s):

V B Levenshtam

Keyword(s):

Parabolic Equations ◽

Principal Part ◽

Exponential Dichotomy ◽

Quasilinear Parabolic Equations ◽

Quasilinear Parabolic

Download Full-text

Stability properties for quasilinear parabolic equations with measure data

Journal of the European Mathematical Society ◽

10.4171/jems/552 ◽

2015 ◽

Vol 17 (9) ◽

pp. 2103-2135 ◽

Cited By ~ 1

Author(s):

Marie-Françoise Bidaut-Véron ◽

Quoc-Hung Nguyen

Keyword(s):

Parabolic Equations ◽

Measure Data ◽

Quasilinear Parabolic Equations ◽

Stability Properties ◽

Quasilinear Parabolic

Download Full-text

Existence of generalized solutions, increasing at infinity, of boundary-value problems for linear and quasilinear parabolic equations

Ukrainian Mathematical Journal ◽

10.1007/bf01055952 ◽

1986 ◽

Vol 37 (4) ◽

pp. 378-385

Author(s):

A. E. Shishkov

Keyword(s):

Boundary Value Problems ◽

Parabolic Equations ◽

Boundary Value ◽

Generalized Solutions ◽

Quasilinear Parabolic Equations ◽

Quasilinear Parabolic

Download Full-text