Continuous dependence of solutions to a fourth order evolution equation

Emine Çelik; Şevket Gür

Makale detayları

Continuous dependence of solutions to a fourth order evolution equation

Yazarlar:

Emine Çelik | Şevket Gür

Yayıncı:

Yildiz Technical University

Ana Başlıklar:

Clinical Chemistry

Dergi:

Sigma Journal of Engineering and Natural Sciences Vol.43 Issue 1, pp.234-240

Belge Tipi:

Makale

Yayın Tarihi:

2/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001344759

pISSN:

1304-7191

Anahtar kelimeler:

Özet:

 We consider an initial-boundary value problem for a fourth-order nonlinear parabolic equation with constant coefficients. Our primary focus lies in establishing a priori estimates for the solution to this equation, with a particular emphasis on its continuous dependence on both the initial data and parameters. Using energy estimates, we establish the continuous dependency for both the solution and its gradient concerning the fourth-order nonlinear parabolic equation.

 We consider an initial-boundary value problem for a fourth-order nonlinear parabolic equation with constant coefficients. Our primary focus lies in establishing a priori estimates for the solution to this equation, with a particular emphasis on its continuous dependence on both the initial data and parameters. Using energy estimates, we establish the continuous dependency for both the solution and its gradient concerning the fourth-order nonlinear parabolic equation.

 We consider an initial-boundary value problem for a fourth-order nonlinear parabolic equation with constant coefficients. Our primary focus lies in establishing a priori estimates for the solution to this equation, with a particular emphasis on its continuous dependence on both the initial data and parameters. Using energy estimates, we establish the continuous dependency for both the solution and its gradient concerning the fourth-order nonlinear parabolic equation.

 We consider an initial-boundary value problem for a fourth-order nonlinear parabolic equation with constant coefficients. Our primary focus lies in establishing a priori estimates for the solution to this equation, with a particular emphasis on its continuous dependence on both the initial data and parameters. Using energy estimates, we establish the continuous dependency for both the solution and its gradient concerning the fourth-order nonlinear parabolic equation.

Makale detayları

Continuous dependence of solutions to a fourth order evolution equation

Yazarlar:

Emine Çelik | Şevket Gür

Yayıncı:

Yildiz Technical University

Ana Başlıklar:

Clinical Chemistry

Dergi:

Sigma Journal of Engineering and Natural Sciences Vol.43 Issue 1, pp.234-240

Belge Tipi:

Makale

Yayın Tarihi:

2/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001344759

pISSN:

1304-7191

Continuous Dependence

Energy Estimates

Fourth-Order Parabolic Equations

2020 Mathematics Subject Classification

35G20

35G31

35Q35

35K25

35K55

Sayı

Makale detayları

Yazarlar: Emine Çelik | Şevket Gür

Yayıncı: Yildiz Technical University

Ana Başlıklar: Clinical Chemistry

Dergi: Sigma Journal of Engineering and Natural Sciences Vol.43 Issue 1, pp.234-240

Belge Tipi: Makale

Yayın Tarihi: 2/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001344759

pISSN: 1304-7191

Sayı

Yazarlar:

Emine Çelik | Şevket Gür

Yayıncı:

Yildiz Technical University

Ana Başlıklar:

Clinical Chemistry

Dergi:

Sigma Journal of Engineering and Natural Sciences Vol.43 Issue 1, pp.234-240

Belge Tipi:

Makale

Yayın Tarihi:

2/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001344759

pISSN:

1304-7191