Results 101 to 110 of about 4,328,107 (173)

EXISTENCE AND UNIQUENESS RESULTS FOR A SYSTEM OF COUPLED KDV EQUATIONS IN WEIGHTED SOBOLEV SPACE

The system of Korteweg–De Vries (KdV) equations is a system of partial differential equations. It is used to describe the modeling of shallow water surface waves.
Umirzakov, Yerzhan
core   +1 more source

Ground states for a modified capillary surface equation in weighted Orlicz-Sobolev space

Electronic Journal of Differential Equations, 2015
In this article, we prove a compact embedding theorem for the weighted Orlicz-Sobolev space of radially symmetric functions. Using the embedding theorem and critical points theory, we prove the existence of multiple radial solutions and radial ground ...
Guoqing Zhang, Huiling Fu
doaj  

Trace theory for parabolic boundary value problems with rough boundary conditions. [PDF]

J Evol Equ
Denk R, Roodenburg FB.
europepmc   +1 more source

Interpolation inequalities in power type weighted Lebesgue-Sobolev spaces

, 2011
In this paper we prove some interpolation inequalities between functions and their derivatives in the class of power type weighted Lebesgue-Sobolev spaces defined on bounded open subset ? ? RN.
Mashiyev, Rabil Ayazoğlu, Çekiç, Bilal, Alisoy, Gülizar   +2 more
core  

Unstable Vortices, Sharp Non-Uniqueness with Forcing, and Global Smooth Solutions for the SQG Equation. [PDF]

Arch Ration Mech Anal
Castro Á, Faraco D, Mengual F, Solera M.   +3 more
europepmc   +1 more source

Higher-order regularity for a structurally damped plate equation on rough domains. [PDF]

Math Ann
Denk R, Roodenburg FB.
europepmc   +1 more source

The Unique Limit of the Glimm-Lax Construction for Sobolev Data and Obstructions to 1-d Convex Integration. [PDF]

Arch Ration Mech Anal
Cheng J, Faile C, Krupa SG.
europepmc   +1 more source

Hyperbolic P ( Φ ) 2 -model on the Plane. [PDF]

Commun Math Phys
Oh T, Tolomeo L, Wang Y, Zheng G.
europepmc   +1 more source

Well-Posedness of the Stochastic Thin-Film Equation with an Interface Potential. [PDF]

Commun Math Phys
Agresti A, Sauerbrey M.
europepmc   +1 more source

Optimal error estimates of the diffuse domain method for second order parabolic equations. [PDF]

BIT Numer Math
Hao W, Ju L, Xu Y.
europepmc   +1 more source