scholarly journals Existence and regularity results for a singular parabolic equations with degenerate coercivity

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Mounim El Ouardy ◽  
Youssef El Hadfi ◽  
Aziz Ifzarne
Keyword(s):  
Parabolic Equations ◽  
Degenerate Coercivity ◽  
Existence And Regularity Results ◽  
Regularity Results ◽  
Singular Parabolic Equations

Existence and regularity results for parabolic equations with degenerate coercivity

2017 ◽  
Vol 63 (5) ◽  
pp. 715-729
Author(s):  
Y. El Hadfi ◽  
A. Benkirane ◽  
A. Youssfi
Keyword(s):  
Parabolic Equations ◽  
Degenerate Coercivity ◽  
Existence And Regularity Results ◽  
Regularity Results

Existence and regularity results for unilateral problems with degenerate coercivity

2019 ◽  
Vol 69 (6) ◽  
pp. 1351-1366 ◽  
Author(s):  
Hocine Ayadi ◽  
Rezak Souilah
Keyword(s):  
Penalty Method ◽  
Degenerate Coercivity ◽  
Unilateral Problems ◽  
Existence And Regularity Results ◽  
Regularity Results

Abstract In this paper we prove some existence and regularity results for nonlinear unilateral problems with degenerate coercivity via the penalty method.

Regularity results for a class of doubly nonlinear very singular parabolic equations

2021 ◽  
Vol 205 ◽  
pp. 112213
Author(s):  
S. Fornaro ◽  
E. Henriques ◽  
V. Vespri
Keyword(s):  
Parabolic Equations ◽  
Doubly Nonlinear ◽  
Regularity Results ◽  
Singular Parabolic Equations

scholarly journals Some existence and regularity results for abstract non-autonomous parabolic equations

1984 ◽  
Vol 99 (1) ◽  
pp. 9-64 ◽  
Author(s):  
Paolo Acquistapace ◽  
Brunello Terreni
Keyword(s):  
Parabolic Equations ◽  
Existence And Regularity Results ◽  
Regularity Results

scholarly journals Existence and regularity results for stochastic fractional pseudo-parabolic equations driven by white noise

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Tran Ngoc Thach ◽  
Devendra Kumar ◽  
Nguyen Hoang Luc ◽  
Nguyen Huy Tuan
Keyword(s):  
Parabolic Equation ◽  
White Noise ◽  
Linear Space ◽  
Parabolic Equations ◽  
Caputo Derivative ◽  
Direct Problem ◽  
Mild Solutions ◽  
Fractional Caputo Derivative ◽  
Existence And Regularity Results ◽  
Regularity Results

<p style='text-indent:20px;'>Solutions of a direct problem for a stochastic pseudo-parabolic equation with fractional Caputo derivative are investigated, in which the non-linear space-time-noise is assumed to satisfy distinct Lipshitz conditions including globally and locally assumptions. The main aim of this work is to establish some existence, uniqueness, regularity, and continuity results for mild solutions.</p>

scholarly journals A Boundary Estimate for Singular Sub-Critical Parabolic Equations

2020 ◽  
Author(s):  
Ugo Gianazza ◽  
Naian Liao
Keyword(s):  
Modulus Of Continuity ◽  
Weak Solutions ◽  
Parabolic Equations ◽  
Boundary Point ◽  
Cylindrical Domain ◽  
Boundary Estimate ◽  
Critical Range ◽  
Type Integral ◽  
Wiener Type ◽  
Singular Parabolic Equations

Abstract We prove an estimate on the modulus of continuity at a boundary point of a cylindrical domain for local weak solutions to singular parabolic equations of $p$-Laplacian type, with $p$ in the sub-critical range $\big(1,\frac{2N}{N+1}\big]$. The estimate is given in terms of a Wiener-type integral, defined by a proper elliptic $p$-capacity.

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