Recent results on semi-linear hyperbolic problems in bounded domains

Nonexistence of Sign-Changing Solutions for Some Elliptic Inequalities in Bounded Domains

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542520080084 ◽

2020 ◽

Vol 60 (8) ◽

pp. 1331-1336

Author(s):

E. I. Galakhov ◽

O. A. Salieva

Keyword(s):

Bounded Domains ◽

Sign Changing Solutions ◽

Elliptic Inequalities

Concentration–Compactness principle for the sharp Adams inequalities in bounded domains and whole space Rn

Journal of Differential Equations ◽

10.1016/j.jde.2019.05.010 ◽

2019 ◽

Vol 267 (7) ◽

pp. 4448-4492 ◽

Cited By ~ 1

Author(s):

Van Hoang Nguyen

Keyword(s):

Bounded Domains ◽

Concentration Compactness ◽

Concentration Compactness Principle ◽

Whole Space ◽

Compactness Principle

Global Solutions to the initial boundary problem of 3-D compressible Navier–Stokes–Poisson on bounded domains

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-021-01469-y ◽

2021 ◽

Vol 72 (2) ◽

Author(s):

Hairong Liu ◽

Hua Zhong

Keyword(s):

Boundary Problem ◽

Global Solutions ◽

Initial Boundary ◽

Navier Stokes ◽

Bounded Domains ◽

Initial Boundary Problem

Fujita exponents for a space–time weighted parabolic problem in bounded domains

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2021.103358 ◽

2021 ◽

Vol 62 ◽

pp. 103358

Author(s):

Xizheng Sun ◽

Bingchen Liu ◽

Fengjie Li

Keyword(s):

Parabolic Problem ◽

Space Time ◽

Bounded Domains

Least energy sign-changing solutions for a class of Schrödinger–Poisson system on bounded domains

Journal of Mathematical Physics ◽

10.1063/5.0040741 ◽

2021 ◽

Vol 62 (3) ◽

pp. 031509

Author(s):

Sofiane Khoutir

Keyword(s):

Bounded Domains ◽

Poisson System ◽

Sign Changing Solutions ◽

Least Energy

Fractional abstract Cauchy problem on complex interpolation scales

Fractional Calculus and Applied Analysis ◽

10.1515/fca-2020-0057 ◽

2020 ◽

Vol 23 (4) ◽

pp. 1125-1140

Author(s):

Andriy Lopushansky ◽

Oleh Lopushansky ◽

Anna Szpila

Keyword(s):

Cauchy Problem ◽

Time Derivative ◽

Abstract Cauchy Problem ◽

Initial Boundary ◽

Sectorial Operator ◽

Complex Interpolation ◽

Bounded Domains ◽

Initial Boundary Value Problems ◽

Fractional Time Derivative ◽

Initial Boundary Value

AbstractAn fractional abstract Cauchy problem generated by a sectorial operator is investigated. An inequality of coercivity type for its solution with respect to a complex interpolation scale generated by a sectorial operator with the same parameters is established. An application to differential parabolic initial-boundary value problems in bounded domains with a fractional time derivative is shown.

The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2013.07.022 ◽

2013 ◽

Vol 66 (7) ◽

pp. 1245-1260 ◽

Cited By ~ 88

Author(s):

Marta D’Elia ◽

Max Gunzburger

Keyword(s):

Fractional Laplacian ◽

Nonlocal Diffusion ◽

Laplacian Operator ◽

Bounded Domains ◽

Diffusion Operator ◽

Fractional Laplacian Operator ◽

Special Case

Nonhomogeneous Noise and Q-Wiener Processes on Bounded Domains

Stochastic Analysis and Applications ◽

10.1081/sap-200050092 ◽

2005 ◽

Vol 23 (2) ◽

pp. 255-273 ◽

Cited By ~ 11

Author(s):

Dirk Blömker

Keyword(s):

Bounded Domains ◽

Wiener Processes

Finitely valent locally biholomorphic mappings of bounded domains

Siberian Mathematical Journal ◽

10.1134/s0037446606010150 ◽

2011 ◽

Vol 52 (1) ◽

pp. 139-146

Author(s):

V. V. Starkov

Keyword(s):

Bounded Domains

Global Dynamics of a Coupled Chemotaxis-Fluid Model on Bounded Domains

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-013-0162-1 ◽

2013 ◽

Vol 16 (2) ◽

pp. 351-364 ◽

Cited By ~ 4

Author(s):

Jishan Fan ◽

Kun Zhao

Keyword(s):

Fluid Model ◽

Global Dynamics ◽

Bounded Domains